%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "5.56",
%%% date = "20 May 2013",
%%% time = "19:19:29 MDT",
%%% filename = "elefunt.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "50542 45177 187404 1934931",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX; bibliography; convergence
%%% acceleration; elementary functions; sequence
%%% acceleration; special functions",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a bibliography of publications about
%%% the computation of the elementary functions
%%% (square root, exponential, logarithm,
%%% trigonometric, inverse trigonometric,
%%% hyperbolic, inverse hyperbolic, ...), and
%%% some selected special functions (Bessel,
%%% elliptic integral, exponential integral,
%%% Gamma, log-Gamma, psi, ...), in computer
%%% programming languages. Additional references
%%% to articles, books, and conference
%%% proceedings provide more mathematical
%%% background.
%%%
%%% At version 5.56, the year coverage looked
%%% like this:
%%%
%%% 1925 ( 1) 1955 ( 5) 1985 ( 34)
%%% 1926 ( 1) 1956 ( 1) 1986 ( 30)
%%% 1927 ( 0) 1957 ( 8) 1987 ( 34)
%%% 1928 ( 0) 1958 ( 7) 1988 ( 48)
%%% 1929 ( 0) 1959 ( 12) 1989 ( 85)
%%% 1930 ( 0) 1960 ( 14) 1990 ( 32)
%%% 1931 ( 0) 1961 ( 19) 1991 ( 47)
%%% 1932 ( 0) 1962 ( 14) 1992 ( 36)
%%% 1933 ( 0) 1963 ( 29) 1993 ( 42)
%%% 1934 ( 1) 1964 ( 42) 1994 ( 48)
%%% 1935 ( 0) 1965 ( 33) 1995 ( 40)
%%% 1936 ( 0) 1966 ( 21) 1996 ( 27)
%%% 1937 ( 2) 1967 ( 26) 1997 ( 34)
%%% 1938 ( 0) 1968 ( 30) 1998 ( 27)
%%% 1939 ( 0) 1969 ( 34) 1999 ( 48)
%%% 1940 ( 1) 1970 ( 33) 2000 ( 31)
%%% 1941 ( 1) 1971 ( 29) 2001 ( 30)
%%% 1942 ( 1) 1972 ( 32) 2002 ( 21)
%%% 1943 ( 1) 1973 ( 28) 2003 ( 25)
%%% 1944 ( 3) 1974 ( 24) 2004 ( 33)
%%% 1945 ( 2) 1975 ( 26) 2005 ( 24)
%%% 1946 ( 1) 1976 ( 32) 2006 ( 21)
%%% 1947 ( 0) 1977 ( 35) 2007 ( 25)
%%% 1948 ( 2) 1978 ( 31) 2008 ( 19)
%%% 1949 ( 2) 1979 ( 31) 2009 ( 27)
%%% 1950 ( 1) 1980 ( 27) 2010 ( 16)
%%% 1951 ( 3) 1981 ( 40) 2011 ( 30)
%%% 1952 ( 3) 1982 ( 42) 2012 ( 14)
%%% 1953 ( 1) 1983 ( 36) 2013 ( 9)
%%% 1954 ( 4) 1984 ( 47)
%%%
%%% Article: 1260
%%% Book: 113
%%% InBook: 1
%%% InCollection: 47
%%% InProceedings: 161
%%% Manual: 1
%%% MastersThesis: 4
%%% Misc: 12
%%% Periodical: 1
%%% PhdThesis: 16
%%% Proceedings: 76
%%% TechReport: 61
%%% Unpublished: 3
%%%
%%% Total entries: 1756
%%%
%%% At version 4.00, this bibliography was
%%% significantly extended by merging in the 262
%%% entries from the bibliography given in entry
%%% Fullerton:1980:BEM. That document was not
%%% available electronically on the Internet, and
%%% the original bib/refer bibliography data from
%%% which the report was derived may have been
%%% lost with the death of its author, so a
%%% printed copy of the report was scanned and
%%% converted to searchable text. Its entries
%%% were then compared with the previous contents
%%% of this file, and the extensive collections
%%% in the TeX User Group and BibNet Project
%%% archives. All of the publications that
%%% Fullerton covered are marked with a citedby
%%% keyword, and his notes are included in remark
%%% keyword values prefixed by his name.
%%%
%%% At version 5.00 of 1-Dec-2011, numerous
%%% references on hypergeometric functions and on
%%% convergence acceleration of sequences were
%%% added. Particularly with special functions,
%%% many standard series expansions converge too
%%% slowly to be useful, but acceleration
%%% techniques can sometimes provide a dramatic
%%% improvement, making such sums numerically
%%% practical. The new entries in that area all
%%% contain the phrase `convergence acceleration'
%%% in their keywords values. See entry
%%% Willis:2012:AGH for a good recent survey of
%%% both areas.
%%%
%%% This bibliography has been collected from
%%% bibliographies in the author's personal
%%% files, from the OCLC WorldCat and
%%% Contents1st databases, from the American
%%% Mathematical Society MathSciNet database,
%%% from the ACM Computing Archive CD-ROM,
%%% and from the computer science bibliography
%%% collection on ftp.ira.uka.de in
%%% /pub/bibliography to which many people of
%%% have contributed.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen as
%%% name:year:abbrev, where name is the family
%%% name of the first author or editor, year is a
%%% 4-digit number, and abbrev is a 3-letter
%%% condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% This bibliography is sorted by year, and
%%% within each year, by author and title key,
%%% using ``bibsort -byyear''. Cross-referenced
%%% proceedings entries appear at the end,
%%% because of a restriction in the current
%%% BibTeX.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
%%% A delimited macro \toenglish ... \endtoenglish is NECESSARY here.
%%% The more conventional undelimited form \toenglish{...} has braces
%%% that prevent BibTeX's downcasing operation, and the alternate form
%%% {\toenglish{...}} is considered a `special character' by BibTeX,
%%% and all of {...} gets downcased. We avoid the name \english to
%%% prevent conflicts with language options in packages like Babel.
%%%
%%% To suppress output of English translations of non-English titles,
%%% use
%%% "\def \toenglish #1\endtoenglish{\unskip}"
%%% instead.
%%%
%%% Alternative Cyrillic definitions are supplied in the event that
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@Preamble{"\input bibnames.sty"
# "\def \toenglish #1\endtoenglish{[{\em English:} #1\unskip]} "
# "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
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# "\ifx \undefined \cdprime \def \cdprime{''} \fi "
# "\ifx \undefined \mathrm \def \mathrm #1{{\rm #1}}\fi "
# "\ifx \undefined \operatorname \def \operatorname #1{{\rm #1}} \fi"
# "\ifx \undefined \TM \def \TM {${}^{\sc TM}$} \fi"
# "\hyphenation{ Rich-ard }"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-nj = "Norbert Juffa,
2445 Mission College Blvd.,
Santa Clara, CA 95054,
USA,
e-mail: \path|norbert@@iit.com|"}
@String{ack-rfb = "Ronald F. Boisvert,
Applied and Computational Mathematics Division,
National Institute of Standards and Technology,
Gaithersburg, MD 20899, USA,
Tel: +1 301 975 3812,
e-mail: \path=boisvert@cam.nist.gov="}
%%% ====================================================================
%%% Institution abbreviations:
@String{inst-ANL = "Argonne National Laboratory"}
@String{inst-ANL:adr = "9700 South Cass Avenue, Argonne, IL
60439-4801, USA"}
@String{inst-BERKELEY-CS = "Department of Computer Science, University
of California"}
@String{inst-BERKELEY-CS:adr = "Berkeley, CA, USA"}
@String{inst-CPAM-UCB = "Center for Pure and Applied Mathematics,
University of California, Berkeley"}
@String{inst-CPAM-UCB:adr = "Berkeley, CA, USA"}
@String{inst-IPTC = "{Institut f{\"u}r Physikalische und
Theoretische Chemie}"}
@String{inst-IPTC:adr = "{Universit{\"a}t Regensburg, D-93040
Regensburg}"}
@String{inst-LORIA-INRIA-LORRAINE = "LORIA/INRIA Lorraine"}
@String{inst-LORIA-INRIA-LORRAINE:adr = "B{\^a}timent A, Technop{\^o}le de
Nancy-Brabois, 615 rue du jardin
botanique, F-54602
Villers-l{\`e}s-Nancy Cedex, France"}
@String{inst-MATH-NPS = "Department of Mathematics, Naval Postgraduate
School"}
@String{inst-MATH-NPS:adr = "Monterey CA 93943, USA"}
@String{inst-PRINCETON = "Princeton University"}
@String{inst-PRINCETON:adr = "Princeton, NJ, USA"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-INFO = "Acta Informatica"}
@String{j-ACTA-MATH = "Acta Mathematica"}
@String{j-ACTA-NUMERICA = "Acta Numerica"}
@String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"}
@String{j-ADV-QUANTUM-CHEM = "Advances in Quantum Chemistry"}
@String{j-AM-J-MATH = "American Journal of Mathematics"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-AMER-STAT = "The American Statistician"}
@String{j-ANN-MATH-ARTIF-INTELL = "Annals of Mathematics and Artificial
Intelligence"}
@String{j-APPL-COMPUT-HARMON-ANAL = "Applied and Computational Harmonic
Analysis. Time-Frequency and
Time-Scale Analysis, Wavelets,
Numerical Algorithms, and
Applications"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-MATH-LETT = "Applied Mathematics Letters"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-APPL-OPTICS = "Applied Optics"}
@String{j-APPL-STAT = "Applied Statistics"}
@String{j-ARCH-HIST-EXACT-SCI = "Archive for History of Exact Sciences"}
@String{j-AUSTRALIAN-J-PHYS = "Australian Journal of Physics"}
@String{j-AUTOMATICA = "Automatica: the journal of IFAC, the
International Federation of Automatic
Control"}
@String{j-BELL-SYST-TECH-J = "The Bell System Technical Journal"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BRITISH-J-PHILOS-SCI = "British Journal for the Philosophy of
Science"}
@String{j-C-R-ACAD-BULGARE-SCI = "Comptes rendus de l'Acad{\'e}mie bulgare
des sciences"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CALCOLO = "Calcolo"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics =
Journal canadien de
math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Bulletin canadien de
math\-{\'e}\-mat\-iques = Canadian
Mathematical Bulletin"}
@String{j-CCCUJ = "C/C++ Users Journal"}
@String{j-CELEST-MECH-DYN-ASTR = "Celestial Mechanics and Dynamical Astronomy"}
@String{j-COLLEGE-MATH-J = "College Mathematics Journal"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-MATH-APPL = "Computers and Mathematics with Applications"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMP-PHYSICS = "Computers in Physics"}
@String{j-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-COMPUT-MATH-MATH-PHYS = "Computational Mathematics and Mathematical
Physics"}
@String{j-COMPUT-PHYS-REP = "Computer Physics Reports"}
@String{j-COMPUT-SCI-ENG = "Computing in Science and Engineering"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUTER = "Computer"}
@String{j-COMPUTING = "Computing: Archiv fur informatik und
numerik"}
@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}
@String{j-CONST-APPROX = "Constructive Approximation"}
@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"}
@String{j-EDN = "EDN"}
@String{j-ELECT-LETTERS = "Electronics Letters"}
@String{j-ELECT-NOTES-THEOR-COMP-SCI = "Electronic Notes in Theoretical
Computer Science"}
@String{j-ELECTRON-COMMUN-JPN = "Electronics and communications in Japan"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis (ETNA)"}
@String{j-ELECTRONIC-DESIGN = "Electronic Design"}
@String{j-ELECTRONIK = "Elektronik"}
@String{j-ELEKTRONIKER = "Elektroniker (Switzerland)"}
@String{j-ELEK-RECHENANLAGEN = "Elektronische Rechenanlagen"}
@String{j-EMBED-SYS-PROG = "Embedded Systems Programming"}
@String{j-EXP-MATH = "Experimental mathematics"}
@String{j-FIB-QUART = "Fibonacci Quarterly"}
@String{j-FORM-METHODS-SYST-DES = "Formal Methods in System Design"}
@String{j-HEWLETT-PACKARD-J = "Hew\-lett-Pack\-ard Journal: technical
information from the laboratories of
Hew\-lett-Pack\-ard Company"}
@String{j-IBM-JRD = "IBM Journal of Research and Development"}
@String{j-IBM-SYS-J = "IBM Systems Journal"}
@String{j-IBM-TDB = "IBM Technical Disclosure Bulletin"}
@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital Techniques"}
@String{j-IEEE-CGA = "IEEE Computer Graphics and Applications"}
@String{j-IEEE-J-SOLID-STATE-CIRCUITS = "IEEE Journal of Solid-State Circuits"}
@String{j-IEEE-MICRO = "IEEE Micro"}
@String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE Signal Processing Letters"}
@String{j-IEEE-TRANS-CIRCUITS-SYST-2 = "IEEE Transactions on Circuits and
Systems. 2, Analog and Digital Signal
Processing"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-MICROWAVE-THEORY-TECH = "IEEE Transactions on Microwave
Theory and Techniques"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IEEE-TRANS-VLSI-SYST = "IEEE Transactions on Very Large Scale
Integration (VLSI) Systems"}
@String{j-IJQC = "International Journal of Quantum Chemistry"}
@String{j-IJSAHPC = "The International Journal of Supercomputer
Applications and High Performance Computing"}
@String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INT-J-COMPUT-INF-SCI = "International Journal of Computer and
Information Sciences"}
@String{j-INT-J-COMPUT-MATH = "International Journal of Computer
Mathematics"}
@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
Computing"}
@String{j-INT-J-MATH-EDU-SCI-TECH = "International journal of mathematical
education in science and technology"}
@String{j-INT-J-MATH-MATH-SCI = "International Journal of Mathematics and
Mathematical Sciences"}
@String{j-INTEGRATION-VLSI-J = "Integration, the VLSI journal"}
@String{j-INTEL-TECH-J = "Intel Technology Journal"}
@String{j-INTERNET-J-CHEM = "Internet Journal of Chemistry"}
@String{j-INTERVAL-COMP = "Interval Computations = Interval'nye
vychisleniia"}
@String{j-IRE-TRANS-ELEC-COMPUT = "IRE Transactions on Electronic Computers"}
@String{j-J-ACM = "Journal of the Association for Computing
Machinery"}
@String{j-J-ALG = "Journal of Algorithms"}
@String{j-J-AM-STAT-ASSOC = "Journal of the American Statistical
Association"}
@String{j-J-APPL-STAT = "Journal of Applied Statistics"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-COMB-THEORY-A = "Journal of Combinatorial Theory (Series A)"}
@String{j-J-COMP-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPLEXITY = "Journal of complexity"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-GRAPHICS-GPU-GAME-TOOLS = "Journal of Graphics, GPU, and Game Tools"}
@String{j-J-HIGH-ENERGY-PHYS = "Journal of High Energy Physics"}
@String{j-J-INST-MATH-APPL = "Journal of the Institute of Mathematics and
its Applications"}
@String{j-J-KOREA-INFO-SCI-SOCIETY = "Journal of the Korea Information Science
Society = Chongbo Kwahakhoe nonmunji"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-MOL-STRUCT-THEOCHEM = "Journal of Molecular Structure. Theochem"}
@String{j-J-MULTIVAR-ANAL = "Journal of Multivariate Analysis"}
@String{j-J-NUMER-METHODS-COMPUT-APPL = "Journal on Numerical Methods and
Computer Applications"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and General)"}
@String{j-J-STAT-COMPUT-SIMUL = "Journal of Statistical Computation and
Simulation"}
@String{j-J-STAT-SOFT = "Journal of Statistical Software"}
@String{j-J-SUPERCOMPUTING = "The Journal of Supercomputing"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-J-SYMBOLIC-LOGIC = "Journal of Symbolic Logic"}
@String{j-J-UCS = "J.UCS: The Journal of Universal Computer Science"}
@String{j-J-VLSI-SIGNAL-PROC = "Journal of VLSI Signal Processing"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LIN-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-LMS-J-COMPUT-MATH = "LMS Journal of Computation and Mathematics"}
@String{j-LOGIN = ";login: the USENIX Association newsletter"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical modelling and numerical
analysis = Modelisation math{\'e}matique et
analyse num{\'e}rique: $M^2AN$"}
@String{j-MATH-OP-RES = "Mathematics of Operations Research"}
@String{j-MATH-PROG = "Mathematical Programming"}
@String{j-MATH-TABLES-AIDS-COMPUT = "Mathematical Tables and Aids to
Computation"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
@String{j-MATHEMATICA-J = "Mathematica Journal"}
@String{j-MICROPROC-MICROPROG = "Microprocessing and Microprogramming"}
@String{j-MICROPROC-MICROSYS = "Microprocessors and Microsystems"}
@String{j-NACH-ELEK = "Nachrichtentechnik Elektronik"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NEURAL-COMP = "Neural Computation"}
@String{j-NEURAL-NETWORKS = "Neural Networks"}
@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk tidskrift for
informationsbehandling"}
@String{j-NOTRE-DAME-J-FORM-LOG = "Notre Dame Journal of Formal Logic"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUCL-INSTR-METH = "Nuclear Instruments and Methods"}
@String{j-NUCL-PHYS-B-PROC-SUPPL = "Nuclear Physics B, Proceedings Supplements"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-OPER-RES = "Operations Research"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PHIL-MAGAZINE = "Philosophical Magazine"}
@String{j-PHYS-REV-A = "Physical Review A"}
@String{j-PHYS-TODAY = "Physics Today"}
@String{j-PHYSICA-D = "Physica D"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROC-IEEE = "Proceedings of the IEEE"}
@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
Society of London. Series A, Mathematical
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@String{j-PROG-COMP-SOFT = "Programming and Computer Software;
translation of Programmirovaniye (Moscow,
USSR) Plenum"}
@String{j-PROGRAMMIROVANIE = "Programmirovanie"}
@String{j-REV-MOD-PHYS = "Reviews of Modern Physics"}
@String{j-RUSS-J-MATH-PHYS = "Russian Journal of Mathematical Physics"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@String{j-SIAM-J-MATH-ANA = "SIAM journal on mathematical analysis"}
@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
Applied Mathematics: Series B, Numerical
Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-SCI-COMP = "SIAM Journal on Scientific Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGADA-LETTERS = "ACM SIGADA Ada Letters"}
@String{j-SIGCSE = "SIGCSE Bulletin (ACM Special Interest Group
on Computer Science Education)"}
@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
@String{j-SIGPLAN = "ACM SIGPLAN Notices"}
@String{j-SIGSAM = "SIGSAM Bulletin (ACM Special Interest Group
on Symbolic and Algebraic Manipulation)"}
@String{j-SPE = "Soft\-ware\emdash Prac\-tice and Experience"}
@String{j-STAT-PROB-LETT = "Statistics \& Probability Letters"}
@String{j-TECHNIQUE-SCI-INFORMATIQUES = "Technique et Science Informatiques"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-TOKYO-J-MATH = "Tokyo journal of mathematics"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-TRANS-INFO-PROCESSING-SOC-JAPAN = "Transactions of the Information
Processing Society of Japan"}
@String{j-TRANS-SOC-COMP-SIM = "Transactions of the Society for Computer
Simulation"}
@String{j-USSR-COMP-MATH-MATH-PHYS = "U.S.S.R. Computational Mathematics and
Mathematical Physics"}
@String{j-Z-ANAL-ANWEND = "Zeitschrift f{\"u}r Analysis und ihre
Anwendungen"}
@String{j-Z-MATH-LOGIK-GRUNDL-MATH = "Zeitschrift f{\"u}r mathematische
Logik und Grundlagen der Mathematik"}
%%% ====================================================================
%%% Publishers and their addresses:
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AFIPS = "AFIPS Press"}
@String{pub-AFIPS:adr = "Montvale, NJ, USA"}
@String{pub-A-K-PETERS = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"}
@String{pub-AKADEMIE-VERLAG = "Akademie-Verlag"}
@String{pub-AKADEMIE-VERLAG:adr = "Berlin, Germany"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-BALTZER = "J. C. Baltzer AG, Scientific
Publishing Company"}
@String{pub-BALTZER:adr = "Basel, Switzerland"}
@String{pub-BENJAMIN = "W. A. {Benjamin, Inc.}"}
@String{pub-BENJAMIN:adr = "New York, NY, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
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@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
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@String{pub-TAYLOR-FRANCIS:adr = "Boca Raton, FL, USA"}
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%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS = "Lecture Notes in Computer Science"}
%%% ====================================================================
%%% Bibliography entries, sorted by year and citation label:
@Article{Ritt:1925:EFT,
author = "J. F. Ritt",
title = "Elementary functions and their inverses",
journal = j-TRANS-AM-MATH-SOC,
volume = "27",
number = "1",
pages = "68--90",
year = "1925",
CODEN = "TAMTAM",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
MRclass = "30A05 (33B10)",
MRnumber = "MR1501299",
bibdate = "Wed Apr 13 06:46:35 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
}
@Article{Dederick:1926:QDDc,
author = "L. S. Dederick",
title = "Questions and Discussions: Discussions: {A} Modified
Method for Cube Roots and Fifth Roots",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "9",
pages = "469--472",
month = nov,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:12 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kalbfell:1934:QDN,
author = "D. C. Kalbfell",
title = "Questions, Discussions and Notes: On a Method for
Calculating Square Roots",
journal = j-AMER-MATH-MONTHLY,
volume = "41",
number = "8",
pages = "504--506",
month = oct,
year = "1934",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR
database",
acknowledgement = ack-nhfb,
}
@Article{Airey:1937:CFA,
author = "J. R. Airey",
title = "The ``converging factor'' in asymptotic series and the
calculation of {Bessel}, {Laguerre} and other
functions",
journal = j-PHIL-MAGAZINE,
volume = "24",
number = "??",
pages = "521--552",
month = "????",
year = "1937",
CODEN = "PHMAA4",
ISSN = "0031-8086",
bibdate = "Thu Dec 01 14:26:37 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Philosophical Magazine",
}
@Article{Escott:1937:QDN,
author = "E. B. Escott",
title = "Questions, Discussions, and Notes: Rapid Method for
Extracting a Square Root",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "10",
pages = "644--646",
month = dec,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:44 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR
database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1940:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = "B. T. Teubner",
address = "Leipzig, Germany and Berlin, Germany",
pages = "xii + 181",
year = "1940",
LCCN = "QA47 .E5",
bibdate = "Fri Jun 11 12:34:09 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://lccn.loc.gov/45006177",
acknowledgement = ack-nhfb,
author-dates = "1873--1951",
}
@Article{Stoner:1941:FEF,
author = "Paul Matthew Stoner",
title = "Fitting the Exponential Function and the {Gompertz}
Function by the Method of Least Squares",
journal = j-J-AM-STAT-ASSOC,
volume = "36",
number = "216",
pages = "515--518",
month = dec,
year = "1941",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:24 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314095;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jamstatassoc1940.bib",
URL = "http://www.jstor.org/stable/2278959",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
}
@Article{Lancaster:1942:MME,
author = "Otis E. Lancaster",
title = "Machine Method for the Extraction of Cube Root",
journal = j-J-AM-STAT-ASSOC,
volume = "37",
number = "217",
pages = "112--115",
month = mar,
year = "1942",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:24 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314096;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jamstatassoc1940.bib",
URL = "http://www.jstor.org/stable/2279437",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
}
@Article{RCA:1943:TTF,
author = "{R. C. A.}",
title = "Tables of Trigonometric Functions in Non-Sexagesimal
Arguments",
journal = j-MATH-TABLES-AIDS-COMPUT,
volume = "1",
number = "2",
pages = "33--44",
month = apr,
year = "1943",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
note = "Original journal has only `R. C. A.' as author:
possibly R. C. Archibald.",
acknowledgement = ack-nhfb,
}
@Article{Bateman:1944:GTB,
author = "Harry Bateman and Raymond Clare Archibald",
title = "A Guide to Tables of {Bessel} Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "7",
pages = "205--308",
month = jul,
year = "1944",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRnumber = "6,132b",
MRreviewer = "G. Szeg{\"o}",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{DHL:1944:NCB,
author = "{D. H. L.}",
title = "Note on the Computation of the {Bessel} Function
${I}_n({X})$",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "5",
pages = "133--135",
month = apr,
year = "1944",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
note = "Original journal has only `D. H. L.' as author:
probably D. H. Lehmer.",
acknowledgement = ack-nhfb,
}
@Book{Lewis:1944:SCH,
author = "Charles J. Lewis",
title = "A survey of the confluent hypergeometric function",
publisher = "????",
address = "Washington, DC, USA",
pages = "155",
year = "1944",
LCCN = "QA351 .L53",
bibdate = "Sat Oct 30 21:06:31 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Hypergeometric functions",
}
@Article{Abramowitz:1945:ZCB,
author = "Milton Abramowitz",
title = "Zeros of certain {Bessel} functions of fractional
order",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "9",
pages = "353--354",
month = jan,
year = "1945",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "6,132c",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1945:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = "Edwards Bros.",
address = "Ann Arbor, MI, USA",
pages = "xii + 181",
year = "1945",
LCCN = "????",
bibdate = "Fri Jun 11 12:34:09 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Original edition published in 1940.",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1946:MZC,
author = "Anonymous",
title = "More Zeros of Certain {Bessel} Functions of Fractional
Order",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "2",
number = "15",
pages = "118--119",
month = jul,
year = "1946",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1948:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Second",
pages = "xii + 181",
year = "1948",
LCCN = "QA55 .E5 1948",
MRclass = "65.0X",
MRnumber = "11,263k",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Tukey:1948:NSR,
author = "John W. Tukey",
title = "A note on the square-root iteration",
type = "SRG Memorandum report",
number = "10",
institution = inst-PRINCETON,
address = inst-PRINCETON:adr,
pages = "18",
year = "1948",
bibdate = "Tue May 15 08:00:09 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Book{Magnus:1949:FTS,
author = "Wilhelm Magnus and Fritz Oberhettinger",
title = "Formulas and theorems for the special functions of
mathematical physics",
publisher = "Chelsea Pub. Co.",
address = "New York, NY, USA",
pages = "172",
year = "1949",
LCCN = "QA41 M19e",
bibdate = "Sat Oct 30 18:44:51 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Translated from the German by John Wermer.",
acknowledgement = ack-nhfb,
}
@Book{USNBSCL:1949:TCH,
author = "{United States National Bureau of Standards
Computation Laboratory }",
title = "Tables of the confluent hypergeometric function
{$F(n/2, 1/2, x)$ and related functions}",
volume = "3",
publisher = "US Government Printing Office",
address = "Washington, DC, USA",
pages = "xxii + 73",
year = "1949",
LCCN = "QA3 .U5 no. 3",
bibdate = "Sat Oct 30 21:06:31 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Applied mathematics series",
URL = "http://openlibrary.org/works/OL1218358W/Tables_of_the_confluent_hypergeometric_function_F%28n_2_1_2_x%29_and_related_functions",
acknowledgement = ack-nhfb,
subject = "Hypergeometric functions; Mathematics; Tables",
}
@Article{Norlund:1950:HF,
author = "Niels Erik N{\o}rlund",
title = "Hypergeometric functions",
journal = "Mat. Tidsskr. B.",
volume = "1950",
number = "??",
pages = "18--21",
year = "1950",
MRclass = "33.0X",
MRnumber = "MR0045259 (13,554e)",
bibdate = "Thu Dec 01 12:41:44 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
language = "Danish",
}
@Article{Fogel:1951:FTE,
author = "{\`E}. K. Fogel'",
title = "A finite theory of elementary functions. {I}.
{Logarithmic} and exponential functions. ({Russian})",
journal = "Latvijas PSR Zin\=at{\c{n}}u Akad. V\=estis",
volume = "5",
number = "46",
pages = "801--813",
year = "1951",
MRclass = "33.0X",
MRnumber = "15,218b",
MRreviewer = "H. N. Shapiro",
bibdate = "Sat Apr 25 13:05:19 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1951:FCE,
author = "H. E. Salzer",
title = "Formulas for Calculating the Error Function of a
Complex Variable",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "34",
pages = "67--70",
month = apr,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1951:RTT,
author = "H. E. Salzer",
title = "Radix Table for Trigonometric Functions and their
Inverses to High Accuracy",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "33",
pages = "9--11",
month = jan,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InBook{Goncarov:1952:EFC,
author = "V. L. Gon{\v{c}}arov",
booktitle = "Encyclopaedia of elementary mathematics. {Book III}.
{Functions} and limits (the foundations of analysis)",
title = "Elementary functions of a complex variable",
publisher = "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
address = "Moscow-Leningrad, USSR",
pages = "491--552",
year = "1952",
MRclass = "30.0X",
MRnumber = "14,1073c",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Goncarov:1952:EFR,
author = "V. L. Gon{\v{c}}arov",
booktitle = "Encyclopaedia of elementary mathematics. {Book III}.
{Functions} and limits (the foundations of analysis)",
title = "Elementary functions of a real variable. Limits of
sequences and functions. {The} general concept of a
function",
publisher = "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
address = "Moscow-Leningrad, USSR",
pages = "9--296",
year = "1952",
MRclass = "27.2X",
MRnumber = "14,1070d",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Kuipers:1952:PSE,
author = "L. Kuipers",
title = "Properties of some elementary functions",
journal = "Nederl. Akad. Wetensch. Proc. Ser. A. = Indagationes
Math.",
volume = "55",
number = "14",
pages = "388--393",
year = "1952",
MRclass = "27.0X",
MRnumber = "14,360e",
MRreviewer = "E. Frank",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Scherberg:1953:ACP,
author = "Max G. Scherberg and John F. Riordan",
title = "Analogue Calculation of Polynomial and Trigonometric
Expansions (in {Other Aids to Computation})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
number = "41",
pages = "61--65",
month = jan,
year = "1953",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Atta:1954:CGH,
author = "Susie E. Atta and Ward C. Sangren",
title = "Calculation of Generalized Hypergeometric Series",
journal = j-J-ACM,
volume = "1",
number = "4",
pages = "170--172",
month = oct,
year = "1954",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Tue Nov 08 21:50:00 1994",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
}
@Article{Cahill:1954:PCH,
author = "W. F. Cahill",
title = "Programs for Computing the Hypergeometric Series (in
Automatic Computing Machinery; Discussions)",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
number = "45",
pages = "36--37",
month = jan,
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
}
@Article{Clenshaw:1954:PAE,
author = "C. W. Clenshaw",
title = "Polynomial approximations to elementary functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
pages = "143--147",
year = "1954",
ISSN = "0891-6837",
MRclass = "41.1X",
MRnumber = "16,128f",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{LaFara:1954:MCI,
author = "Robert L. LaFara",
title = "A Method for Calculating Inverse Trigonometric
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
number = "47",
pages = "132--139",
month = jul,
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Froberg:1955:NTC,
author = "Carl-Erik Fr{\"o}berg",
title = "Numerical Treatment of {Coulomb} Wave Functions",
journal = j-REV-MOD-PHYS,
volume = "27",
number = "4",
pages = "399--411",
month = oct,
year = "1955",
CODEN = "RMPHAT",
DOI = "http://dx.doi.org/10.1103/RevModPhys.27.399",
ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
ISSN-L = "0034-6861",
bibdate = "Tue May 22 16:36:44 MDT 2012",
bibsource = "http://rmp.aps.org/toc/RMP/v27/i4;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/revmodphys1950.bib",
URL = "http://link.aps.org/doi/10.1103/RevModPhys.27.399;
http://rmp.aps.org/abstract/RMP/v27/i4/p399_1",
acknowledgement = ack-nhfb,
fjournal = "Reviews of Modern Physics",
}
@Book{Hastings:1955:ADC,
author = "Cecil {Hastings, Jr.}",
title = "Approximations for digital computers",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "viii + 201",
year = "1955",
ISBN = "0-691-07914-5",
ISBN-13 = "978-0-691-07914-1",
LCCN = "QA76 .H37",
bibdate = "Mon Oct 01 15:59:48 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
note = "Assisted by Jeanne T. Hayward and James P. Wong, Jr.",
series = "The Rand series",
acknowledgement = ack-nhfb,
remark = "Reprinted 1957, 1959, 1962, 1966, and 1970. I have
fourth printing (1962).",
subject = "Electronic digital computers; Numerical analysis",
}
@Article{Norlund:1955:HF,
author = "Niels Erik N{\o}rlund",
title = "Hypergeometric functions",
journal = j-ACTA-MATH,
volume = "94",
number = "??",
pages = "289--349",
month = "????",
year = "1955",
CODEN = "ACMAA8",
DOI = "http://dx.doi.org/10.1007/BF02392494",
ISSN = "0001-5962 (print), 1871-2509 (electronic)",
ISSN-L = "0001-5962",
MRclass = "33.0X",
MRnumber = "MR0074585 (17,610d)",
bibdate = "Thu Dec 01 10:09:47 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica",
}
@Article{Preston:1955:ACS,
author = "F. S. Preston",
title = "An Analog Computer for the Solution of Tangents",
journal = j-IRE-TRANS-ELEC-COMPUT,
volume = "EC-4",
number = "3",
pages = "101--106",
month = "????",
year = "1955",
CODEN = "IRELAO",
DOI = "http://dx.doi.org/10.1109/IRETELC.1955.507908",
ISSN = "0367-9950",
bibdate = "Thu Jun 30 15:10:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407908",
acknowledgement = ack-nhfb,
fjournal = "IRE Transactions on Electronic Computers",
}
@Article{Robinson:1955:EAC,
author = "A. S. Robinson",
title = "An Electronic Analog Computing Technique for the
Solution of Trigonometric Problems",
journal = j-IRE-TRANS-ELEC-COMPUT,
volume = "EC-4",
number = "3",
pages = "95--101",
month = "????",
year = "1955",
CODEN = "IRELAO",
DOI = "http://dx.doi.org/10.1109/IRETELC.1955.5407907",
ISSN = "0367-9950",
bibdate = "Thu Jun 30 15:10:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407907",
acknowledgement = ack-nhfb,
fjournal = "IRE Transactions on Electronic Computers",
}
@Book{Sneddon:1956:SFM,
author = "Ian Naismith Sneddon",
title = "Special functions of mathematical physics and
chemistry",
volume = "19",
publisher = "Oliver and Boyd,",
address = "Edinburgh, UK",
edition = "Third",
pages = "viii + 164",
year = "1956",
LCCN = "QA1 U588 v. 19",
bibdate = "Sat Oct 30 18:41:48 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "University mathematical texts",
acknowledgement = ack-nhfb,
remark = "See second edition \cite{Sneddon:1961:SFM} and third
edition \cite{Sneddon:1980:SFM}.",
subject = "Functions, Special",
}
@Article{Hitchcock:1957:PAB,
author = "A. J. M. Hitchcock",
title = "Polynomial Approximations to {Bessel} Functions of
Order Zero and One and to Related Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "86--88",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002156",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
}
@Article{Kogbetliantz:1957:CEN,
author = "E. G. Kogbetliantz",
title = "Computation of $e^{N}$ for $-\infty < {N} < +\infty$
Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "1",
number = "2",
pages = "110--115",
month = apr,
year = "1957",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
MRclass = "68.0X",
MRnumber = "19,775d",
bibdate = "Tue Sep 06 20:55:54 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
reviewer = "W. F. Freiberger",
}
@Article{Linskii:1957:CEF,
author = "V. S. Linski{\u{\i}}",
title = "Calculation of elementary functions on automatic
digital machines. ({Russian})",
journal = "Vy{\v{c}}isl. Mat.",
volume = "2",
pages = "90--119",
year = "1957",
MRclass = "68.00",
MRnumber = "21 \#982",
MRreviewer = "J. W. Carr, III",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Luke:1957:C,
author = "Yudell L. Luke",
title = "On the Computation of $\log {Z}$ and
$\operatorname{arc} \tan {Z}$",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "57",
pages = "16--18",
month = jan,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Miller:1957:NGS,
author = "J. C. P. Miller",
title = "Note on the General Solution of the Confluent
Hypergeometric Equation",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "97--99",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002156",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
}
@Article{Southard:1957:ATW,
author = "Thomas H. Southard",
title = "Approximation and Table of the {Weierstrass} $\wp$
Function in the Equianharmonic Case for Real Argument",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "99--100",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002156",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
}
@Article{Stegun:1957:GBF,
author = "Irene A. Stegun and Milton Abramowitz",
title = "Generation of {Bessel} Functions on High Speed
Computers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "60",
pages = "255--257",
month = oct,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{T:1957:CHS,
author = "C. B. T.",
title = "Comment: {T. H. Southard, \booktitle{Approximation and
table of the Weierstrass $\wp$ function in the
equianharmonic case for real argument}. [MTAC, this
issue, p. 99--100]}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "110--110",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002157",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
}
@Article{Beattie:1958:TFZ,
author = "Curtis L. Beattie",
title = "Table of First 700 Zeros of {Bessel} Functions ---
{$J_l(x)$} and {$J^{\prime}_l(x)$}",
journal = j-BELL-SYST-TECH-J,
volume = "37",
number = "3",
pages = "689--697",
month = may,
year = "1958",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "65.00",
MRnumber = "0093928 (20 \#448)",
MRreviewer = "J. C. P. Miller",
bibdate = "Tue Nov 9 11:15:54 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1958/BSTJ.1958.3703.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol37/bstj37-3-689.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Book{Bowman:1958:IBF,
author = "Frank Bowman",
title = "Introduction to {Bessel} functions",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "x + 135",
year = "1958",
LCCN = "QA408 .B68i 1958",
bibdate = "Sat Jan 15 17:24:26 MST 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
remark = "An unabridged and unaltered republication of the first
edition.",
subject = "Bessel functions",
}
@Article{Dingle:1958:AEC,
author = "R. B. Dingle",
title = "Asymptotic Expansions and Converging Factors. {III}.
Gamma, Psi and Polygamma Functions, and {Fermi--Dirac}
and {Bose--Einstein} Integrals",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "244",
number = "1239",
pages = "484--490",
day = "22",
month = apr,
year = "1958",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
bibdate = "Mon Jun 18 07:22:24 MDT 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/100264",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of London. Series A,
Mathematical and physical sciences",
}
@Article{Goldstein:1958:BFL,
author = "M. Goldstein and R. M. Thaler",
title = "{Bessel} Functions for Large Arguments",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "12",
number = "61",
pages = "18--26",
month = jan,
year = "1958",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1958:CANa,
author = "E. G. Kogbetliantz",
title = "Computation of Arctan {N} for $-\infty < {N} <
+\infty$ Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "2",
number = "1",
pages = "43--53",
month = jan,
year = "1958",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
MRclass = "65.3X",
MRnumber = "19,982e",
bibdate = "Wed Aug 31 13:40:00 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
reviewer = "C. B. Haselgrove",
}
@Article{Kogbetliantz:1958:CANb,
author = "E. G. Kogbetliantz",
title = "Computation of Arcsin {N} for $0<{N}<1$ Using an
Electronic Computer",
journal = j-IBM-JRD,
volume = "2",
number = "3",
pages = "218--222",
month = jul,
year = "1958",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
MRclass = "65.3X",
MRnumber = "19,1197c",
bibdate = "Wed Aug 31 13:41:37 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
reviewer = "C. B. Haselgrove",
}
@Article{Wadey:1958:TSR,
author = "W. G. Wadey",
title = "Two Square-Root Approximations",
journal = j-CACM,
volume = "1",
number = "11",
pages = "13--14",
month = nov,
year = "1958",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Wed Jul 14 15:48:22 MDT 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58;
http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
oldlabel = "Wadey58",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wadey58",
}
@Article{Davis:1959:LEI,
author = "P. J. Davis",
title = "{Leonhard Euler}'s integral: {A} historical profile of
the gamma function: In Memoriam: {Milton Abramowitz}",
journal = j-AMER-MATH-MONTHLY,
volume = "66",
number = "10",
pages = "849--869",
month = dec,
year = "1959",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "00 (33.00)",
MRnumber = "MR0106810 (21 #5540)",
bibdate = "Mon Nov 24 20:57:26 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{DiDonato:1959:NFC,
author = "A. R. DiDonato and A. V. Hershey",
title = "New Formulas for Computing Incomplete Elliptic
Integrals of the First and Second Kind",
journal = j-J-ACM,
volume = "6",
number = "4",
pages = "515--526",
month = oct,
year = "1959",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Mon Dec 05 20:10:59 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Book{Emde:1959:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = "B. T. Teubner",
address = "Leipzig, Germany and Berlin, Germany",
edition = "Third",
pages = "xii + 181",
year = "1959",
LCCN = "QA47 .E5",
bibdate = "Fri Jun 11 12:34:09 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://lccn.loc.gov/61020314",
acknowledgement = ack-nhfb,
author-dates = "1873--1951",
}
@Article{Goldstein:1959:RTC,
author = "M. Goldstein and R. M. Thaler",
title = "Recurrence Techniques for the Calculation of {Bessel}
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "66",
pages = "102--108",
month = apr,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1959:CSC,
author = "E. G. Kogbetliantz",
title = "Computation of $\sin{N}$, $\cos{N}$, and ${M}$th Root
of ${N}$ Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "3",
number = "2",
pages = "147--152",
month = apr,
year = "1959",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
MRclass = "65.00",
MRnumber = "21 \#964",
bibdate = "Thu Sep 1 10:15:56 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
reviewer = "B. A. Chartres",
}
@Article{Longman:1959:STT,
author = "I. M. Longman",
title = "A Short Table of $\int^\infty_x {J}_0(t)t^{-n} dt$ and
$\int^\infty_x {J}_1(t) t^{-n} dt$ (in {Technical Notes
and Short Papers})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "68",
pages = "306--311",
month = oct,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 6-digit values for $n = 1, 2, \ldots{}, 22$
and for $x = 1, 2, \ldots{}, 10$.",
}
@Article{Luke:1959:ECH,
author = "Yudell L. Luke",
title = "Expansion of the Confluent Hypergeometric Function in
Series of {Bessel} Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "68",
pages = "261--271",
month = oct,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
}
@Article{Sarafyan:1959:NMC,
author = "Diran Sarafyan",
title = "A New Method of Computation of Square Roots Without
Using Division",
journal = j-CACM,
volume = "2",
number = "11",
pages = "23--24",
month = nov,
year = "1959",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Wed Jul 14 15:48:24 MDT 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59;
http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See comments \cite{Traub:1960:CNM}.",
acknowledgement = ack-nhfb,
oldlabel = "Sarafyan59",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sarafyan59",
}
@Article{Sherry:1959:CGF,
author = "M. E. Sherry and S. Fulda",
title = "Calculation of Gamma Functions to High Accuracy (in
{Technical Notes and Short Papers})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "68",
pages = "314--315",
month = oct,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Strachey:1959:TSR,
author = "C. Strachey",
title = "On taking the square root of a complex number",
journal = j-COMP-J,
volume = "2",
number = "2",
pages = "89--89",
month = jul,
year = "1959",
CODEN = "CMPJA6",
DOI = "http://dx.doi.org/10.1093/comjnl/2.2.89",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:55:11 MDT 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compj1950.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/020089.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/tiff/89.tif",
acknowledgement = ack-nhfb,
}
@Article{Volder:1959:CCT,
author = "Jack Volder",
title = "The {CORDIC} Computing Technique",
journal = "Proceedings of the Western Joint Computer Conference",
pages = "257--261",
year = "1959",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/Pre.1975.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Volder:1959:CTC,
author = "J. E. Volder",
title = "The {CORDIC} Trigonometric Computing Technique",
journal = j-IRE-TRANS-ELEC-COMPUT,
volume = "EC-8",
number = "5",
pages = "330--334",
month = sep,
year = "1959",
CODEN = "IRELAO",
ISSN = "0367-9950",
bibdate = "Thu Sep 1 10:15:31 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
acknowledgement = ack-nj,
fjournal = "IRE Transactions on Electronic Computers",
}
@Article{Beam:1960:ACE,
author = "A. Beam",
title = "{Algorithm 14}: {Complex} exponential integral",
journal = j-CACM,
volume = "3",
number = "7",
pages = "406--406",
month = jul,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:27 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$\Ei(z)$; special functions",
remark = "Fullerton: 30-line Algol procedure incorrectly
labelled algorithm 13.",
}
@Article{Haimovici:1960:MRE,
author = "Corina Haimovici",
title = "A method of representing elementary functions in
algebras of finite order. ({Romanian})",
journal = "An. {\c{S}}ti. Univ. ``Al. I. Cuza'' Ia{\c{s}}i
Sec{\c{t}} I. (N.S.)",
volume = "6",
pages = "507--515",
year = "1960",
MRclass = "26.00",
MRnumber = "24 \#A1342",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Harumi:1960:VTN,
author = "Kasaburo Harumi and Shigetoshi Katsura and John W.
{Wrench, Jr.}",
title = "Values of {$\frac{2}{\pi} \int^\infty_0
\Big(\frac{\sin t}{t}\Big)^n dt$} (in {Technical Notes
and Short Papers})",
journal = j-MATH-COMPUT,
volume = "14",
number = "72",
pages = "379--379",
month = oct,
year = "1960",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 10-digit table for $n = 1, 2, \ldots{},
30$.",
}
@InCollection{Kogbetliantz:1960:GEF,
author = "E. G. Kogbetliantz",
title = "Generation of elementary functions",
crossref = "Ralston:1960:MMD",
pages = "7--35",
year = "1960",
MRclass = "68.00 (65.00)",
MRnumber = "22 \#8681",
MRreviewer = "J. C. P. Miller",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Lang:1960:ECC,
author = "H. A. Lang",
title = "On the Evaluation of Certain Complex Elliptic
Integrals (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "14",
number = "70",
pages = "195--199",
month = apr,
year = "1960",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Manual{Maehly:1960:ACD,
author = "Hans J. Maehly",
title = "Approximations for the {Control Data 1604}",
organization = "Institute for Advanced Study",
address = "Princeton, NJ",
pages = "ii + 44",
day = "15",
month = jan,
year = "1960",
bibdate = "Tue Nov 06 00:39:07 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.bitsavers.org/pdf/cdc/1604/Approximations_For_The_Control_Data_1604_Mar60.pdf",
acknowledgement = ack-nhfb,
keywords = "$\arctan(x)$; $\cos(x)$; $\exp(x)$; $\log(x)$;
$\sin(x)$; $\sqrt(x)$; $\tan(x)$; CDC 1604",
}
@Article{Philip:1960:FI,
author = "J. R. Philip",
title = "The function $\operatorname{inverfc} \theta$",
journal = j-AUSTRALIAN-J-PHYS,
volume = "13",
number = "1",
pages = "13--20",
month = mar,
year = "1960",
CODEN = "AUJPAS",
ISSN = "0004-9506",
MRnumber = "22 \9626",
bibdate = "Tue Sep 11 20:53:59 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
ZMnumber = "135.28302",
abstract = "The function inverfc $\theta$ arises in certain
differential equations when concentration is taken as
an independent variable. It enters into a general
method of exact solution of the concentration-dependent
diffusion equation. An account is given of the
properties of this function, and of its derivatives and
integrals. The function\par
$$B(\theta) = (2/\pi^{1/2})
\exp[-(\operatorname{inverfc} \theta)^2]$$
\noindent is intimately connected with the first
integral of inverfc $\theta$ and with its derivatives.
Tables of $\operatorname{inverfc} \theta$ and
$B(\theta)$ are given.",
acknowledgement = ack-nhfb,
}
@Book{Rainville:1960:SF,
author = "Earl David Rainville",
title = "Special Functions",
publisher = "Chelsea Publishing Company",
address = "New York, NY, USA",
pages = "xii + 365",
year = "1960",
ISBN = "0-8284-0258-2",
ISBN-13 = "978-0-8284-0258-3",
LCCN = "QA331 R15; QA351 .R3 1971",
bibdate = "Mon Sep 3 16:04:28 MDT 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
note = "Reprinted in 1971.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Based upon the lectures on special functions which
\ldots{} [the author has] been giving at the University
of Michigan since 1946. Fullerton: All traditional
functions and polynomials are discussed in some
detail.",
subject = "Functions, Special",
}
@Article{Sarafyan:1960:DCS,
author = "Diran Sarafyan",
title = "Divisionless computation of square roots through
continued squaring",
journal = j-CACM,
volume = "3",
number = "5",
pages = "319--321",
month = may,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
MRclass = "65.00",
MRnumber = "22\#8639",
bibdate = "Fri Nov 25 18:19:26 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "$\sqrt(x)$; elementary functions",
ZMreviewer = "M. Lotkin",
}
@Article{Sholander:1960:AEE,
author = "Marlow Sholander",
title = "Analytical expressions and elementary functions",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
pages = "213--214",
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "26.00",
MRnumber = "22 \#9553",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Book{Slater:1960:CHF,
author = "Lucy Joan Slater",
title = "Confluent hypergeometric functions",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "247",
year = "1960",
LCCN = "QA351 .S56",
bibdate = "Sat Oct 30 21:01:55 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Discussion of properties and 7 decimal
place tables of $_1F_1(a;b;x)$.",
subject = "Hypergeometric functions",
}
@Article{Traub:1960:CNM,
author = "J. F. Traub",
title = "Comments on a recent paper [{``A New Method of
Computation of Square Roots Without Using
Division''}]",
journal = j-CACM,
volume = "3",
number = "2",
pages = "86--86",
month = feb,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:25 MST 2005",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Sarafyan:1959:NMC}.",
acknowledgement = ack-nhfb,
oldlabel = "Traub60",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Traub60",
}
@Book{Warmus:1960:TEF,
author = "Mieczys{\l}aw Warmus",
title = "Tables of elementary functions",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "vii + 567",
year = "1960",
LCCN = "QA55 .W3 1960",
MRclass = "65.05",
MRnumber = "23 \#B1141",
MRreviewer = "J. C. P. Miller",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Pa{\'n}stwowe Wydawnictwo Naukowe, Warsaw. Separately
bound table of proportional parts, 30 pp.",
acknowledgement = ack-nhfb,
}
@Article{Barakat:1961:EIG,
author = "Richard Barakat",
title = "Evaluation of the Incomplete Gamma Function of
Imaginary Argument by {Chebyshev} Polynomials",
journal = j-MATH-COMPUT,
volume = "15",
number = "73",
pages = "7--11",
month = jan,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Boersma:1961:TFR,
author = "J. Boersma",
title = "Two Formulas Relating to Elliptic Integrals of the
Third Kind (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "15",
number = "75",
pages = "296--298",
month = jul,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Corrington:1961:ACE,
author = "Murlan S. Corrington",
title = "Applications of the Complex Exponential Integral",
journal = j-MATH-COMPUT,
volume = "15",
number = "73",
pages = "1--6",
month = jan,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Ehrling:1961:NCI,
author = "G. Ehrling",
title = "On the Numerical Computation of Incomplete Elliptic
Integrals",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "1",
number = "1",
pages = "8--14",
month = mar,
year = "1961",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01961946",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:06 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=1;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=1&spage=8",
acknowledgement = ack-nhfb,
}
@Article{Fields:1961:EHF,
author = "Jerry L. Fields and Jet Wimp",
title = "Expansions of Hypergeometric Functions in
Hypergeometric Functions",
journal = j-MATH-COMPUT,
volume = "15",
number = "76",
pages = "390--395",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Froberg:1961:RCA,
author = "Carl-Erik Fr{\"o}berg",
title = "Rational {Chebyshev} Approximations of Elementary
Functions",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "1",
number = "4",
pages = "256--262",
month = dec,
year = "1961",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933243",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=4;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See erratum \cite{Froberg:1963:ERC}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=4&spage=256",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Gautschi:1961:RCR,
author = "Walter Gautschi",
title = "Recursive Computation of the Repeated Integrals of the
Error Function",
journal = j-MATH-COMPUT,
volume = "15",
number = "75",
pages = "227--232",
month = jul,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Herndon:1961:ABF,
author = "John R. Herndon",
title = "{Algorithm 57}: {Ber} or {Bei} Function",
journal = j-CACM,
volume = "4",
number = "4",
pages = "181--181",
month = apr,
year = "1961",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:32 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "bei functions; ber functions; special functions",
remark = "Fullerton: 20-line Algol procedure that only sums
series.",
}
@Article{Herndon:1961:ACEa,
author = "John R. Herndon",
title = "{Algorithm 55}: {Complete} elliptic integral of the
first kind",
journal = j-CACM,
volume = "4",
number = "4",
pages = "180--180",
month = apr,
year = "1961",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:32 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Herndon:1961:ACEb,
author = "John R. Herndon",
title = "{Algorithm 56}: {Complete} elliptic integral of the
second kind",
journal = j-CACM,
volume = "4",
number = "4",
pages = "180--181",
month = apr,
year = "1961",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:32 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Book{Hochstadt:1961:SFM,
author = "Harry Hochstadt",
title = "Special functions of mathematical physics",
publisher = pub-HRW,
address = pub-HRW:adr,
pages = "viii + 81",
year = "1961",
ISBN = "0-236-73011-8",
ISBN-13 = "978-0-236-73011-7",
LCCN = "QA351 H65 1961",
bibdate = "Sat Oct 30 18:01:08 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
remark = "Reprinted 1966.",
}
@Article{Landau:1961:PSW,
author = "H. J. Landau and H. O. Pollak",
title = "Prolate spheroidal wave functions, {Fourier} analysis
and uncertainty. {II}",
journal = j-BELL-SYST-TECH-J,
volume = "40",
number = "1",
pages = "65--84",
month = jan,
year = "1961",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "33.27",
MRnumber = "0140733 (25 \#4147)",
MRreviewer = "I. Marx",
bibdate = "Tue Nov 9 11:15:54 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1961/BSTJ.1961.4001.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol40/bstj40-1-65.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Article{Luke:1961:EHF,
author = "Yudell L. Luke and Richard L. Coleman",
title = "Expansion of Hypergeometric Functions in Series of
Other Hypergeometric Functions",
journal = j-MATH-COMPUT,
volume = "15",
number = "75",
pages = "233--237",
month = jul,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Rader:1961:CAC,
author = "P. J. Rader and Henry C. {Thacher, Jr.}",
title = "Certification of {Algorithm 14 [not 13]}: {Complex}
exponential integral",
journal = j-CACM,
volume = "4",
number = "2",
pages = "105--105",
month = feb,
year = "1961",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:30 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$\Ei(z)$; special functions",
remark = "Fullerton: It's accurate but sometimes slow.",
}
@Article{Slepian:1961:PSW,
author = "D. Slepian and H. O. Pollak",
title = "Prolate spheroidal wave functions, {Fourier} analysis
and uncertainty. {I}",
journal = j-BELL-SYST-TECH-J,
volume = "40",
number = "1",
pages = "43--63",
month = jan,
year = "1961",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "33.27",
MRnumber = "0140732 (25 \#4146)",
MRreviewer = "I. Marx",
bibdate = "Tue Nov 9 11:15:54 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1961/BSTJ.1961.4001.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol40/bstj40-1-43.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Book{Sneddon:1961:SFM,
author = "Ian Naismith Sneddon",
title = "Special functions of mathematical physics and
chemistry",
publisher = "Oliver and Boyd",
address = "Edinburgh, UK",
edition = "Ssecond",
pages = "184",
year = "1961",
LCCN = "QA331 .S65 1961",
bibdate = "Sat Oct 30 21:22:03 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "University mathematical texts",
acknowledgement = ack-nhfb,
remark = "See first edition \cite{Sneddon:1956:SFM} and third
edition {Sneddon:1980:SFM}",
}
@Article{Spielberg:1961:ECF,
author = "Kurt Spielberg",
title = "Efficient Continued Fraction Approximations To
Elementary Functions",
journal = j-MATH-COMPUT,
volume = "15",
number = "76",
pages = "409--417",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.20",
MRnumber = "MR0134842 (24 \#B894)",
MRreviewer = "M. E. Rose",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
database",
acknowledgement = ack-nj # " and " # ack-nhfb,
}
@Article{Thacher:1961:ISR,
author = "Henry C. {Thacher, Jr.}",
title = "Iterated Square Root Expansions for the Inverse Cosine
and Inverse Hyperbolic Cosine",
journal = j-MATH-COMPUT,
volume = "15",
number = "76",
pages = "399--403",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Werner:1961:CAG,
author = "Helmut Werner and Robert Collinge",
title = "{Chebyshev} Approximations to the Gamma Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "15",
number = "74",
pages = "195--197",
month = apr,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Albrecht:1962:FKM,
author = "J. Albrecht",
title = "{Fehlerschranken und Konvergenzbeschleunigung bei
einer monotonen oder alternierenden Iterationsfolge}.
({German}) [{Error} Bounds and Convergence Acceleration
with a Monotone or Alternating Iteration Sequence]",
journal = j-NUM-MATH,
volume = "4",
pages = "196--208",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
language = "German",
}
@TechReport{Blanch:1962:TRR,
author = "Gertrude Blanch and Donald S. Clemm",
title = "Tables Relating to the Radial {Mathieu} Functions,
Vols. 1 \& 2",
type = "Report",
institution = "Aeronautical Research Labs. U. S. Government Printing
Office",
address = "Washington, DC, USA",
year = "1962",
bibdate = "Fri Oct 29 21:37:53 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Gertrude Blanch (1897--1996)",
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 7-place tables.",
}
@Article{Boersma:1962:CLF,
author = "J. Boersma",
title = "On the Computation of {Lommel}'s Functions of Two
Variables (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "16",
number = "78",
pages = "232--238",
month = apr,
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Lommel's functions are infinite sums
involving Bessel functions $J_{\nu - 2m}(x)$.",
}
@Article{Cantor:1962:LEF,
author = "D. Cantor and G. Estrin and R. Turn",
title = "Logarithmic and Exponential Function Evaluation in a
Variable Structure Digital Computer",
journal = j-IRE-TRANS-ELEC-COMPUT,
volume = "EC-11",
number = "2",
pages = "155--164",
month = apr,
year = "1962",
CODEN = "IRELAO",
DOI = "http://dx.doi.org/10.1109/TEC.1962.5219348",
ISSN = "0367-9950",
bibdate = "Thu Jul 14 09:11:49 MDT 2011",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219348",
acknowledgement = ack-nj # "\slash " # ack-nhfb,
fjournal = "IRE Transactions on Electronic Computers",
}
@Article{Christiansen:1962:APC,
author = "S{\o}ren Christiansen",
title = "{Algol} Programming: Contribution no. 3: Calculation
of complementary {Fresnel} integrals",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "2",
number = "3",
pages = "192--194",
year = "1962",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Nov 16 14:34:20 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: A 50-line Algol procedure is given. It
calculates $\int_x^\infty \cos(t)/\sqrt{2 \pi t} \, dt$
and $\int_x^\infty \sin(t)/\sqrt{2 \pi t} \, dt$.",
}
@Article{Cundiff:1962:AEA,
author = "John L. Cundiff",
title = "{Algorithm 88}: {Evaluation} of Asymptotic Expression
for the {Fresnel} Sine and Cosine Integrals",
journal = j-CACM,
volume = "5",
number = "5",
pages = "280--280",
month = may,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:38 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "C(x); S(x); special functions",
remark = "Fullerton: Can be used with algorithms 89 and 90.
30-line Algol procedure.",
}
@Article{Cundiff:1962:AEFa,
author = "John L. Cundiff",
title = "{Algorithm 89}: {Evaluation} of the {Fresnel} Sine
Integral",
journal = j-CACM,
volume = "5",
number = "5",
pages = "280--280",
month = may,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:38 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "S(x); special functions",
remark = "Fullerton: 20-line Algol procedure that must be used
with algorithm 88.",
}
@Article{Cundiff:1962:AEFb,
author = "John L. Cundiff",
title = "{Algorithm 90}: {Evaluation} of the {Fresnel} Cosine
Integral",
journal = j-CACM,
volume = "5",
number = "5",
pages = "281--281",
month = may,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:38 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "C(x); special functions",
remark = "Fullerton: 20-line Algol procedure that must be used
with algorithm 88.",
}
@Article{Hansen:1962:SRV,
author = "Eldon R. Hansen and Merrell L. Patrick",
title = "Some Relations and Values for the Generalized
{Riemann} Zeta Function",
journal = j-MATH-COMPUT,
volume = "16",
number = "79",
pages = "265--274",
month = jul,
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Jefferson:1962:RAI,
author = "David K. Jefferson",
title = "Remark on {Algorithm 73}: {Incomplete} elliptic
integrals",
journal = j-CACM,
volume = "5",
number = "10",
pages = "514--514",
month = oct,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:41 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Landau:1962:PSW,
author = "H. J. Landau and H. O. Pollak",
title = "Prolate spheroidal wave functions, {Fourier} analysis
and uncertainty. {III}. {The} dimension of the space of
essentially time- and band-limited signals",
journal = j-BELL-SYST-TECH-J,
volume = "41",
number = "4",
pages = "1295--1336",
month = jul,
year = "1962",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "33.28 (94.10)",
MRnumber = "0147686 (26 \#5200)",
MRreviewer = "I. Marx",
bibdate = "Tue Nov 9 11:15:54 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1962/BSTJ.1962.4104.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol41/bstj41-4-1295.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Article{Merner:1962:AAC,
author = "J. N. Merner",
title = "{ACM Algorithm 149}: Complete Elliptic Integral",
journal = j-CACM,
volume = "5",
number = "12",
pages = "605",
month = dec,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Thu Sep 08 09:47:50 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Skovgaard:1978:RCE}.",
acknowledgement = ack-nhfb,
}
@Article{Thacher:1962:CAB,
author = "Henry C. {Thacher, Jr.}",
title = "Certification of {Algorithm 57}:
{$\operatorname{ber}$} or {$\operatorname{bei}$}
function",
journal = j-CACM,
volume = "5",
number = "8",
pages = "438--438",
month = aug,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:40 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "bei functions; ber functions; special functions",
remark = "Fullerton: The algorithm is inaccurate for large
$x$.",
}
@Article{Thacher:1962:CAH,
author = "Henry C. {Thacher, Jr.}",
title = "Certification of {Algorithms 191 and 192,
Hypergeometric and Confluent Hypergeometric
Functions}",
journal = j-CACM,
volume = "7",
number = "4",
pages = "244--244",
month = apr,
year = "1962",
bibdate = "Sat Oct 30 11:27:28 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: An error in a comment is noted.",
}
@Article{Burgoyne:1963:AKF,
author = "F. D. Burgoyne",
title = "Approximations to {Kelvin} Functions (in {Technical
Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "17",
number = "83",
pages = "295--298",
month = jul,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 9-digit approximations.",
}
@Article{Carlitz:1963:IEF,
author = "L. Carlitz",
title = "The Inverse of the Error Function",
journal = j-PAC-J-MATH,
volume = "13",
number = "2",
pages = "459--470",
year = "1963",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
bibdate = "Thu Sep 13 21:30:05 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://pjm.math.berkeley.edu/pjm;
http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.pjm/1103035736&view=body&content-type=pdf_1",
acknowledgement = ack-nhfb,
}
@Article{Clenshaw:1963:ASF,
author = "C. W. Clenshaw and G. F. Miller and M. Woodger",
title = "Algorithms for Special Functions {I}",
journal = j-NUM-MATH,
volume = "4",
pages = "403--419",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Sep 16 10:21:31 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: ALGOL 60 procedures with accuracy $\approx
10^{-15}$ for $\exp$, $\ln$, $\sin$, $\cos$, $\tan$,
$\arcsin$, $\arctan$, $\gamma$, $\Ei$ and $\erf$. See
G. F. Miller (1965) for corrections.",
}
@Article{Eve:1963:SAI,
author = "J. Eve",
title = "Starting approximation for the iterative calculation
of square roots",
journal = j-COMP-J,
volume = "6",
number = "3",
pages = "274--276",
month = oct,
year = "1963",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:55:49 MDT 2000",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/compj1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/060274.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/274.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/275.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/276.tif",
acknowledgement = ack-nhfb # " and " # ack-nj,
xxmonth = "(none)",
xxnumber = "(none)",
}
@Article{Fettis:1963:AMH,
author = "Henry E. Fettis",
title = "{Algorithm 163}: {Modified} {Hankel} function",
journal = j-CACM,
volume = "6",
number = "4",
pages = "161--162",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:46 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Hankel functions; special functions",
remark = "Fullerton: A 25-line Algol procedure for $e^x
K_p(x)$.",
}
@Article{Froberg:1963:APC,
author = "Carl-Erik Fr{\"o}berg",
title = "{Algol} Programming: Contribution no. 5: Computation
of the {Fermi} function",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "3",
number = "2",
pages = "141--142",
year = "1963",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Nov 16 14:36:22 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The Fermi function depends on several
physical parameters of the atomic nucleus.",
}
@Article{Froberg:1963:ERC,
author = "C.-E. Fr{\"o}berg",
title = "Erratum: {``Rational Chebyshev Approximations of
Elementary Functions'' [BIT {\bf 1}(4), 1961, p. 261,
line 12]}",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "3",
number = "1",
pages = "68--68",
month = mar,
year = "1963",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01963538",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=3&issue=1;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Froberg:1961:RCA}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=3&issue=1&spage=68",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Gray:1963:AFI,
author = "Malcolm D. Gray",
title = "{Algorithm 213}: {Fresnel} Integrals",
journal = j-CACM,
volume = "6",
number = "10",
pages = "617--617",
month = oct,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:49 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See certification \cite{Gray:1964:CAF} and related
remark \cite{Gray:1963:RAE}.",
acknowledgement = ack-nhfb,
keywords = "C(x); S(x); special functions",
}
@Article{Gray:1963:RAE,
author = "Malcolm D. Gray",
title = "Remark on Algorithms 88, 89, and 90 evaluation of the
{Fresnel} integrals",
journal = j-CACM,
volume = "6",
number = "10",
pages = "618--618",
month = oct,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:49 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "C(x); S(x); special functions",
remark = "Fullerton: An error is noted.",
}
@Article{Hofsommer:1963:NCE,
author = "D. J. Hofsommer and R. van de Riet",
title = "On the numerical calculation of elliptic integrals of
the first and second kind and the elliptic functions of
{Jacobi}",
journal = j-NUM-MATH,
volume = "5",
pages = "291--302",
month = dec,
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Lee-Whiting:1963:EFC,
author = "G. E. Lee-Whiting",
title = "Erratum: ``{Formulas} for Computing Incomplete
Elliptic Integrals of the First and Second Kinds''",
journal = j-J-ACM,
volume = "10",
pages = "412--412",
year = "1963",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Sat Dec 10 15:59:26 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Lee-Whiting:1963:FCI}.",
acknowledgement = ack-nhfb,
xxmonth = "none",
xxnumber = "none",
}
@Article{Lee-Whiting:1963:FCI,
author = "G. E. Lee-Whiting",
title = "Formulas for Computing Incomplete Elliptic Integrals
of the First and Second Kinds",
journal = j-J-ACM,
volume = "10",
number = "2",
pages = "126--130",
month = apr,
year = "1963",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Sat Nov 05 22:55:28 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Lee-Whiting:1963:EFC}.",
acknowledgement = ack-nhfb,
}
@Book{Ljusternik:1963:MVF,
author = "L. A. Ljusternik and O. A. {\v{C}}ervonenkis and A. R.
Janpol{\'s}ki{{\u{\i}}}",
title = "{\cyr Matematicheski{\u{\i}}analiz. Vychislenie
{\`e}lementarnykh funktsi{\u{\i}}}. [Mathematical
analysis. {Computation} of the elementary functions]",
publisher = "Gosudarstv. Izdat. Fiz-Mat. Lit.",
address = "Moscow, USSR",
pages = "247",
year = "1963",
MRclass = "65.25",
MRnumber = "28 \#1733",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Ludwig:1963:AIB,
author = "Oliver G. Ludwig",
title = "{Algorithm 179}: {Incomplete} beta ratio",
journal = j-CACM,
volume = "6",
number = "6",
pages = "314--314",
month = jun,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:47 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Pike:1976:RIB,Bosten:1974:RAI}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: This algorithm is the basis for a modern
treatment by Bosten and Battiste.",
}
@Article{Meyer:1963:CAI,
author = "Noelle A. Meyer",
title = "Certification of {Algorithm 73}: {Incomplete} elliptic
integrals",
journal = j-CACM,
volume = "6",
number = "2",
pages = "69--69",
month = feb,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:44 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Newman:1963:ICS,
author = "J. N. Newman and W. Frank",
title = "An Integral Containing the Square of a {Bessel}
Function",
journal = j-MATH-COMPUT,
volume = "17",
number = "81",
pages = "64--70",
month = jan,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The integral $I_n^m(x) = \int_0^{\pi/2}
\frac{J_n^2(x \cos (\theta))}{(x \cos(\theta))^{2m}} \,
d\theta$, where $m$ and $n$ are either integers or half
integers, is considered.",
}
@Article{Peuizulaev:1963:AEF,
author = "{\v{S}}. I. Pe{\u{\i}}zulaev",
title = "An approximation by elementary functions.
({Russian})",
journal = "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.",
volume = "3",
pages = "769--770",
year = "1963",
MRclass = "41.30",
MRnumber = "28 \#398",
MRreviewer = "D. D. Stancu",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Relph:1963:AAH,
author = "A. P. Relph",
title = "{ACM Algorithm 191}: Hypergeometric",
journal = j-CACM,
volume = "6",
number = "7",
pages = "388--389",
month = jul,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 08 09:32:02 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See certification \cite{Koppelaar:1974:CRA}.",
acknowledgement = ack-nhfb,
}
@Article{Relph:1963:ACH,
author = "A. P. Relph",
title = "{Algorithm 192}: {Confluent} hypergeometric",
journal = j-CACM,
volume = "6",
number = "7",
pages = "388--388",
month = jul,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:47 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 30-line Algol procedure for complex args.
The work of Luke supersedes this.",
}
@Article{Relph:1963:AH,
author = "A. P. Relph",
title = "{Algorithm 191}: {Hypergeometric}",
journal = j-CACM,
volume = "6",
number = "7",
pages = "388--388",
month = jul,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:47 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See certification \cite{Koppelaar:1974:CRA}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 30-line Algol procedure. The work of Luke
is better.",
}
@Book{Sneddon:1963:SFM,
author = "Ian Naismith Sneddon",
title = "{Spezielle Funktionen der mathematischen Physik und
Chemie. Mathematische Formelsammlung II}. ({German})
[Special {functions} of mathematical physics and
chemistry. {Mathematical} formula collection {II}]",
volume = "54",
publisher = "Bibliographisches Institut",
address = "Mannheim, West Germany",
pages = "166",
year = "1963",
LCCN = "QA351 .S6415",
bibdate = "Sat Oct 30 21:22:03 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "B. I.-Hochschultaschenb{\"u}cher",
acknowledgement = ack-nhfb,
language = "German",
remark = "German translation of \cite{Sneddon:1961:SFM}.",
subject = "Functions; Mathematical physics",
}
@Article{Stern:1963:CSR,
author = "T. E. Stern and R. M. Lerner",
title = "A circuit for the square root of the sum of the
squares",
journal = j-PROC-IEEE,
volume = "51",
number = "4",
pages = "593--596",
month = apr,
year = "1963",
CODEN = "IEEPAD",
ISSN = "0018-9219 (print), 1558-2256 (electronic)",
bibdate = "Sat Jul 16 15:28:13 MDT 2005",
bibsource = "http://ieeexplore.ieee.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
summary = "A piecewise-linear network can produce an output
proportional to the square root of the sum of the
squares of a set of input voltages, using resistors and
diodes alone. The required relationship between
voltages can be represented by a multi- \ldots{}",
}
@Article{Sweeney:1963:CEC,
author = "Dura W. Sweeney",
title = "On the Computation of {Euler}'s Constant",
journal = j-MATH-COMPUT,
volume = "17",
number = "82",
pages = "170--178",
month = apr,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 3566 digits should be enough.",
}
@Article{Thacher:1963:ACEa,
author = "Henry C. {Thacher, Jr.}",
title = "{Algorithm 165}: {Complete} elliptic integrals",
journal = j-CACM,
volume = "6",
number = "4",
pages = "163--164",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:46 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Thacher:1963:CACa,
author = "Henry C. {Thacher, Jr.}",
title = "Certification of {Algorithm 55}: {Complete} elliptic
integral of the first kind",
journal = j-CACM,
volume = "6",
number = "4",
pages = "166--167",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:46 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Thacher:1963:CACb,
author = "Henry C. {Thacher, Jr.}",
title = "Certification of {Algorithm 149}: {Complete} elliptic
integral",
journal = j-CACM,
volume = "6",
number = "4",
pages = "166--167",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:46 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{vandeRiet:1963:CAI,
author = "R. P. van de Riet",
title = "Certification of {Algorithm 73}: {Incomplete} elliptic
integrals",
journal = j-CACM,
volume = "6",
number = "4",
pages = "167--167",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:46 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Werner:1963:AFI,
author = "H. Werner and G. Raymann",
title = "An Approximation to the {Fermi} Integral
${F}_{1/2}(x)$",
journal = j-MATH-COMPUT,
volume = "17",
number = "82",
pages = "193--194",
month = apr,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Relative errors of $5 \times 10^{-4}$.",
}
@Article{Whittlesey:1963:IGF,
author = "John R. B. Whittlesey",
title = "Incomplete Gamma Functions for Evaluating {Erlang}
Process Probabilities",
journal = j-MATH-COMPUT,
volume = "17",
number = "81",
pages = "11--17",
month = jan,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InCollection{Abramowitz:1964:CWF,
author = "Milton Abramowitz",
title = "{Coulomb} Wave Functions",
crossref = "Abramowitz:1964:HMF",
pages = "537--554",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Abramowitz:1964:SFR,
author = "Milton Abramowitz",
title = "{Struve} Functions and Related Functions",
crossref = "Abramowitz:1964:HMF",
pages = "495--502",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Antosiewicz:1964:BFF,
author = "H. A. Antosiewicz",
title = "{Bessel} Functions of Fractional Order",
crossref = "Abramowitz:1964:HMF",
pages = "435--478",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Blanch:1964:MF,
author = "Gertrude Blanch",
title = "{Mathieu} Functions",
crossref = "Abramowitz:1964:HMF",
pages = "721--750",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "1897--1996",
citedby = "Fullerton:1980:BEM",
}
@Article{Bray:1964:CAGa,
author = "T. A. Bray",
title = "Certification of {Algorithm 225}: {Gamma} function
with controlled accuracy",
journal = j-CACM,
volume = "7",
number = "10",
pages = "586--586",
month = oct,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:56 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$\Gamma(x)$; special functions",
remark = "Fullerton: No corrections were necessary.",
}
@Article{Burgoyne:1964:GTF,
author = "F. D. Burgoyne",
title = "Generalized Trigonometric Functions (in {Technical
Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "18",
number = "86",
pages = "314--316",
month = apr,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cody:1964:DPS,
author = "William J. {Cody, Jr.}",
title = "Double-Precision Square Root for the {CDC-3600}",
journal = j-CACM,
volume = "7",
number = "12",
pages = "715--718",
month = dec,
year = "1964",
CODEN = "CACMA2",
DOI = "http://doi.acm.org/10.1145/355588.365122",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:57 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
abstract = "In January of 1960, the late Hans J. Maehly completed
a summary of approximations to the elementary functions
for the CDC-1604 computer. The approximations and
techniques suggested by Maehly are equally applicable
to the second large computer in the CDC line, the 3600.
Unlike the 1604, however, the 3600 has built-in
double-precision floating-point arithmetic. The present
work, largely inspired by the successes of Maehly and
his associates, concerns the extension of one of
Maehly's ideas to a double-precision subroutine for the
3600.",
acknowledgement = ack-nhfb # "\slash " # ack-nj,
keywords = "$sqrt(x)$; CDC 3600; elementary functions;
floating-point arithmetic",
}
@Article{Cowgill:1964:LEB,
author = "D. Cowgill",
title = "Logic Equations for a Built-In Square Root Method",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-13",
number = "2",
pages = "156--157",
month = apr,
year = "1964",
CODEN = "IEECA8",
DOI = "http://dx.doi.org/10.1109/PGEC.1964.263791",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 06:56:59 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038119",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Curtiss:1964:EIB,
author = "C. F. Curtiss",
title = "Expansions of Integrals of {Bessel} Functions of Large
Order",
journal = j-J-MATH-PHYS,
volume = "5",
number = "4",
pages = "561--564",
month = apr,
year = "1964",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.1704149",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 08:40:12 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v5/i4/p561_s1",
acknowledgement = ack-nhfb,
onlinedate = "22 December 2004",
pagecount = "4",
}
@Article{Cyvin:1964:AGF,
author = "S. J. Cyvin and B. N. Cyvin",
title = "{Algorithm 225}: {Gamma} function with controlled
accuracy",
journal = j-CACM,
volume = "7",
number = "5",
pages = "295--295",
month = may,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:53 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$\Gamma(x)$; special functions",
remark = "Fullerton: 30-line Algol procedure based on
out-of-date method.",
}
@InCollection{Davis:1964:GFR,
author = "Philip J. Davis",
title = "Gamma Function and Related Functions",
crossref = "Abramowitz:1964:HMF",
pages = "253--294",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@TechReport{Fisherkeller:1964:TCE,
author = "M. A. Fisherkeller and W. J. {Cody, Jr.}",
title = "Tables of the Complete Elliptic Integrals ${K}$,
${K}'$, ${E}$, and ${E}'$",
type = "Technical Memo",
number = "ANL AMD 71",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "14",
year = "1964",
bibdate = "Thu Nov 17 10:44:21 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See review by John W. Wrench in Mathematics of
Computation, {\bf 19}(89--92), 342, 1965.",
acknowledgement = ack-nhfb,
}
@Article{Gargantini:1964:RCA,
author = "I. Gargantini and T. Pomentale",
title = "Rational {Chebyshev} approximations to the {Bessel}
function integrals {$Ki_s(x)$}",
journal = j-CACM,
volume = "7",
number = "12",
pages = "727--730",
month = dec,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
MRclass = "65.25",
MRnumber = "31\#863",
bibdate = "Fri Nov 25 18:19:57 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "The second Remes algorithm is used to approximate the
integrals $Ki_s$ by rational functions. The related
coefficients for the approximations of $Ki_1, Ki_2,
Ki_3$ are given for different precisions.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Bessel functions; Kis(x); special functions",
remark = "Fullerton: Approximations for repeated integrals
$\operatorname{Ki}_s(x)$ of $K(x)$ for $s= 1, 2, 3$ are
given for accuracies down to $10^{-5}$ for $s = 1$ and
to $10^{-7}$ for $s = 2, 3$.",
}
@Article{Gautschi:1964:AIB,
author = "Walter Gautschi",
title = "{Algorithm 222}: {Incomplete} beta functions ratios",
journal = j-CACM,
volume = "7",
number = "3",
pages = "143--143",
month = mar,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:52 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "beta functions; special functions",
remark = "Fullerton: 200-line Algol procedure.",
}
@Article{Gautschi:1964:CAI,
author = "Walter Gautschi",
title = "Certification of {Algorithm 222}: {Incomplete} beta
function ratios",
journal = j-CACM,
volume = "7",
number = "4",
pages = "244--244",
month = apr,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:53 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "beta functions; special functions",
remark = "Fullerton: A typographical error is noted.",
}
@InCollection{Gautschi:1964:EFF,
author = "Walter Gautschi",
title = "Error Function and {Fresnel} Integrals",
crossref = "Abramowitz:1964:HMF",
pages = "295--330",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Gautschi:1964:EIR,
author = "Walter Gautschi and William F. Cahill",
title = "Exponential Integral and Related Functions",
crossref = "Abramowitz:1964:HMF",
pages = "227--252",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Gray:1964:CAF,
author = "Malcolm Gray",
title = "Certification of {Algorithm 213}: {Fresnel}
integrals",
journal = j-CACM,
volume = "7",
number = "11",
pages = "661--661",
month = nov,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:56 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Gray:1963:AFI,Gray:1963:RAE}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "C(x); S(x); special functions",
remark = "Fullerton: Several corrections are given.",
}
@InCollection{Haynsworth:1964:BEP,
author = "Emilie V. Haynsworth and Karl Goldberg",
title = "{Bernoulli} and {Euler} Polynomials, {Riemann Zeta}
Function",
crossref = "Abramowitz:1964:HMF",
pages = "803--820",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Hochstrasser:1964:OP,
author = "Urs W. Hochstrasser",
title = "Orthogonal Polynomials",
crossref = "Abramowitz:1964:HMF",
pages = "771--802",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Hummer:1964:EDF,
author = "David G. Hummer",
title = "Expansions of {Dawson}'s Function in a Series of
{Chebyshev} Polynomials (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "18",
number = "86",
pages = "317--319",
month = apr,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Almost l5-digit approximations.",
}
@Article{Lanczos:1964:PAG,
author = "C. Lanczos",
title = "A Precision Approximation of the Gamma Function",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "1",
number = "??",
pages = "86--96",
month = "????",
year = "1964",
ISSN = "0887-459X (print), 1095-7170 (electronic)",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2949767",
acknowledgement = ack-nhfb,
}
@Article{Lotsch:1964:AFI,
author = "Helmut Lotsch and Malcolm Gray",
title = "{Algorithm 244}: {Fresnel} Integrals [{S20}]",
journal = j-CACM,
volume = "7",
number = "11",
pages = "660--661",
month = nov,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:56 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "This procedure computes the Fresnel sine and cosine
integrals $C(w) = \int_0^\infty \cos [(\pi/2)t^2]\,dt$
and $S(w) = \int_0^w \sin [(\pi/2)t^2]\,dt$. It is a
modification of Algorithm 213 (Comm. ACM, 6 (Oct.
1963), 617) such that the accuracy, expressed by
\textit{eps}, is improved. eps can arbitrarily be
chosen up to $\textit{eps} = 10^{-6}$ for a computer
with sufficient word length as, for example, the
Burroughs B5000 which has 11--12 significant digits.
Referring to the formulas of Algorithm 213: if $|w| <
\sqrt{(26.20/\pi)}$ the series expansions $C(w)$ and
$S(w)$ are terminated when the absolute value of the
relative change in two successive terms is $\leq
\textit{eps}$. If $|w| \geq \sqrt{(26.20/\pi)}$ the
series $Q(x)$ and $P(x)$ are terminated when the
absolute value of the terms is $\leq \textit{eps}/2$.
However, this truncation point is not necessarily valid
for the range $\sqrt{(26.20/\pi)} \leq |w| <
\sqrt{(28.50/\pi)}$ when $\textit{eps} = 10^{-6}$,
since the asymptotic series must be terminated before
arriving at the minimum. In this range the ignored
terms of the series expansions are $< 3 \times 10^{6}$,
and for larger arguments $< 10^{-6}$. This accuracy may
be improved if desired: the switch-over point from the
regular to the asymptotic series expansions has to be
displaced to larger arguments.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "C(x); Fresnel integrals; S(x); special functions",
remark = "Fullerton: 100-line Algol procedure.",
}
@InCollection{Lowan:1964:SWF,
author = "Arnold N. Lowan",
title = "Spheroidal Wave Functions",
crossref = "Abramowitz:1964:HMF",
pages = "751--770",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Luke:1964:IBF,
author = "Yudell L. Luke",
title = "Integrals of {Bessel} Functions",
crossref = "Abramowitz:1964:HMF",
pages = "479--494",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Miller:1964:PCF,
author = "J. C. P. Miller",
title = "Parabolic Cylinder Functions",
crossref = "Abramowitz:1964:HMF",
pages = "685--720",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Milne-Thomson:1964:EI,
author = "L. M. Milne-Thomson",
title = "Elliptic Integrals",
crossref = "Abramowitz:1964:HMF",
pages = "587--626",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Milne-Thomson:1964:JEF,
author = "L. M. Milne-Thomson",
title = "{Jacobian} Elliptic Functions and Theta Functions",
crossref = "Abramowitz:1964:HMF",
pages = "567--586",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Morelock:1964:AAE,
author = "J. C. Morelock",
title = "{ACM} Algorithm 229: Elementary Functions by Continued
Fractions",
journal = j-CACM,
volume = "7",
number = "5",
pages = "296",
month = may,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Thu Sep 08 09:32:21 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Oberhettinger:1964:HF,
author = "Frtiz Oberhettinger",
title = "Hypergeometric Functions",
crossref = "Abramowitz:1964:HMF",
pages = "555--566",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Olver:1964:BFI,
author = "F. W. J. Olver",
title = "{Bessel} Functions of Integer Order",
crossref = "Abramowitz:1964:HMF",
pages = "355--434",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Schmidt:1964:AEC,
author = "Paul W. Schmidt",
title = "Asymptotic Expansion of Certain Integrals Containing
the {Bessel} Function {$J_0(x)$}",
journal = j-J-MATH-PHYS,
volume = "5",
number = "8",
pages = "1183--1184",
month = aug,
year = "1964",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.1704223",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 08:40:15 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v5/i8/p1183_s1",
acknowledgement = ack-nhfb,
onlinedate = "22 December 2004",
pagecount = "2",
}
@Article{Simauti:1964:AFS,
author = "Takakazu Simauti",
title = "Approximation formulas for some elementary functions",
journal = "Comment. Math. Univ. St. Paul.",
volume = "12",
pages = "23--35",
year = "1964",
CODEN = "COMAAC",
ISSN = "0010-258X",
MRclass = "65.25",
MRnumber = "28 \#5552",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Slater:1964:CHF,
author = "Lucy Joan Slater",
title = "Confluent Hvpergeometric Functions",
crossref = "Abramowitz:1964:HMF",
pages = "503--536",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Slepian:1964:PSW,
author = "David Slepian",
title = "Prolate Spheroidal Wave Functions, {Fourier} Analysis
and Uncertainty --- {IV}: Extensions to Many
Dimensions; Generalized Prolate Spheroidal Functions",
journal = j-BELL-SYST-TECH-J,
volume = "43",
number = "6",
pages = "3009--3057",
month = nov,
year = "1964",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "33.28",
MRnumber = "0181766 (31 \#5993)",
MRreviewer = "J. Meixner",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1964/BSTJ.1964.4306.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol43/bstj43-6-3009.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@InCollection{Southard:1964:WER,
author = "Thomas H. Southard",
title = "{Weierstrass} Elliptic and Related Functions",
crossref = "Abramowitz:1964:HMF",
pages = "627--684",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Stegun:1964:LF,
author = "Irene A. Stegun",
title = "{Legendre} Functions",
crossref = "Abramowitz:1964:HMF",
pages = "331--354",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Stegun:1964:MF,
author = "Irene A. Stegun",
title = "Miscellaneous Functions",
crossref = "Abramowitz:1964:HMF",
pages = "997--1010",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Clausen's integral; Clebsch--Gordan coefficients;
Debye function; Dilogarithm (Spence's integral);
Einstein function; Planck function; Sievert and related
integrals",
remark = "Fullerton: Debye, Planck and Einstein functions.
Sievert and related integrals. Dilogarithm (Spence's
integral). Clausen's integral. Clebsch--Gordan
coefficients.",
}
@Article{Wengert:1964:SAD,
author = "R. E. Wengert",
title = "A simple automatic derivative evaluation program",
journal = j-CACM,
volume = "7",
number = "8",
pages = "463--464",
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/auto.diff.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "A procedure for automatic evaluation of total and
partial derivatives of arbitrary algebraic functions is
presented. The numerical values of derivatives are
computed without developing analytic expressions for
the derivatives. The function is decomposed into a
sequence of elementary expressions A library is
provided for differentiating of elementary functions.",
acknowledgement = ack-nhfb,
keywords = "computer program.; differentiation arithmetic; point
algorithm",
referred = "[Bell65a]; [Carl86a]; [Corl88a]; [Garc91a]; [Irim91a];
[Kala83b]; [Laws88a]; [Laws91a]; [Neid87a]; [Neid89a];
[Ostr71a]; [Pfei87a]; [Tesf91a]; [Voli85a]; [Wexl87a];
[Wilk64a].",
}
@InCollection{Zelen:1964:PF,
author = "Marvin Zelen and Norman C. Severo",
title = "Probability Functions",
crossref = "Abramowitz:1964:HMF",
pages = "925--996",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Zucker:1964:ETF,
author = "Ruth Zucker",
title = "Elementary Transcendental Functions. {Logarithmic},
Exponential, Circular and Hyperbolic Functions",
crossref = "Abramowitz:1964:HMF",
pages = "65--226",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Bingulac:1965:ACG,
author = "S. P. Bingulac and E. A. Humo",
title = "Analog Computer Generation of {Bessel} Functions of
Arbitrary Order",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-14",
number = "6",
pages = "886--889",
month = dec,
year = "1965",
CODEN = "IEECA8",
DOI = "http://dx.doi.org/10.1109/PGEC.1965.264084",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 06:26:41 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038609",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Braess:1965:MIG,
author = "Dietrich Braess",
title = "{Monotone Iterationsfolgen bei Gleichungssystemen mit
fehlerhaften Koeffizienten und
Iterationsbeschleunigung}. ({German}) [{Monotone}
Iteration Sequences for Equation Systems with
Coefficients Having Errors, and Iteration
Acceleration]",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "32--41",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
language = "German",
}
@Article{Bulirsch:1965:NCEa,
author = "R. Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions",
journal = j-NUM-MATH,
volume = "7",
number = "1",
pages = "78--90",
month = feb,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 20:10:40 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Handbook Series Special functions",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Bulirsch:1965:NCEb,
author = "R. Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions. {II}",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "353--354",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Christiansen:1965:APE,
author = "S. Christiansen",
title = "{Algol} programming: Error Integral with Complex
Argument",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "4",
pages = "287--293",
month = dec,
year = "1965",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01937509",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:09 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=5&issue=4;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=5&issue=4&spage=287",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: A 75-line Algol procedure with maximum
absolute error about $2 \times 10^{-6}$ is given for
$w(z) = e^{-z^2} \erfc(-iz)$.",
}
@Article{Cochran:1965:ZHF,
author = "J. A. Cochran",
title = "The zeros of {Hankel} functions as functions of their
order",
journal = j-NUM-MATH,
volume = "7",
number = "3",
pages = "238--250",
month = jun,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 10:06:00 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Cody:1965:CAC,
author = "W. J. {Cody, Jr.}",
title = "{Chebyshev} Approximations for the Complete Elliptic
Integrals {$K$} and {$E$}",
journal = j-MATH-COMPUT,
volume = "19",
number = "89--92",
pages = "105--112",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.05",
MRnumber = "30\#1601",
bibdate = "Fri Oct 23 11:10:16 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Cody:1966:CCA}.",
URL = "http://www.jstor.org/stable/2004103",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Relative errors down to $4 \times
10^{-18}$.",
}
@Article{Cody:1965:CPE,
author = "W. J. {Cody, Jr.}",
title = "{Chebyshev} Polynomial Expansions of Complete Elliptic
Integrals",
journal = j-MATH-COMPUT,
volume = "19",
number = "89--92",
pages = "249--259",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.25",
MRnumber = "31\#2820",
bibdate = "Fri Oct 23 11:10:33 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.jstor.org/stable/2003350",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 25-digit approximations.",
}
@Article{Combet:1965:CBT,
author = "M. Combet and H. {Van Zonneveld} and L. Verbeek",
title = "Computation of the Base Two Logarithm of Binary
Numbers",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-14",
number = "6",
pages = "863--867",
month = dec,
year = "1965",
CODEN = "IEECA8",
DOI = "http://dx.doi.org/10.1109/PGEC.1965.264080",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 06:26:41 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038605",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Dahlquist:1965:CAP,
author = "Germund Dahlquist and Sven-{\AA}ke Gustafson and
K{\'a}roly Sikl{\'o}si",
title = "Convergence Acceleration from the Point of View of
Linear Programming",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "1",
pages = "1--16",
month = mar,
year = "1965",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01975719",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:08 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=5&issue=1;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=5&issue=1&spage=1",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Fettis:1965:CEI,
author = "Henry E. Fettis",
title = "Calculation of Elliptic Integrals of the Third Kind by
Means of {Gauss}' Transformation",
journal = j-MATH-COMPUT,
volume = "19",
number = "89",
pages = "97--104",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2004102",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Fields:1965:RAG,
author = "Jerry L. Fields",
title = "Rational Approximations to Generalized Hypergeometric
Functions",
journal = j-MATH-COMPUT,
volume = "19",
number = "92",
pages = "606--624",
month = oct,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Franke:1965:NEE,
author = "Charles H. Franke",
title = "Numerical Evaluation of the Elliptic Integral of the
Third Kind (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "19",
number = "91",
pages = "494--496",
month = jul,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Fraser:1965:SMC,
author = "W. Fraser",
title = "A Survey of Methods for Computing Minimax and
Near-Minimax Polynomial Approximations for Functions of
a Single Independent Variable",
journal = j-J-ACM,
volume = "12",
number = "3",
pages = "295--314",
month = jul,
year = "1965",
CODEN = "JACOAH",
DOI = "http://doi.acm.org/10.1145/321281.321282",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Thu Nov 03 08:47:50 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Methods are described for the derivation of minimax
and near-minimax polynomial approximations. For minimax
approximations techniques are considered for both
analytically defined functions and functions defined by
a table of values. For near-minimax approximations
methods of determining the coefficients of the
Fourier--Chebyshev expansion are first described. These
consist of the rearrangement of the coefficients of a
power polynomial, and also direct determination of the
coefficients from the integral which defines them, or
the differential equation which defines the function.
Finally there is given a convenient modification of an
interpolation scheme which finds coefficients of a
near-minimax approximation without requiring numerical
integration or the numerical solution of a system of
equations.",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1965:ALF,
author = "W. Gautschi",
title = "{Algorithm 259}: {Legendre} Functions for Arguments
Larger than One [{S16}]",
journal = j-CACM,
volume = "8",
number = "8",
pages = "488--492",
month = aug,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:01 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Jansen:1977:RLF}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Legendre functions; special functions",
remark = "Fullerton: Long Algol procedures for the associated
Legendre functions of the first and second kinds:
$P_a^n(x)$ and $Q_n^m$.",
}
@Article{Gunn:1965:ASa,
author = "J. H. Gunn",
title = "{Algorithm 260}: {6-$J$} symbols",
journal = j-CACM,
volume = "8",
number = "8",
pages = "492--492",
month = aug,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:01 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Short Algol procedure.",
}
@Article{Gunn:1965:ASb,
author = "J. H. Gunn",
title = "{Algorithm 261}: {9-$J$} symbols",
journal = j-CACM,
volume = "8",
number = "8",
pages = "492--493",
month = aug,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:01 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Short Algol procedure.",
}
@Article{Gunn:1965:AZV,
author = "J. H. Gunn",
title = "{Algorithm 252} [{Z}]: {Vector} coupling or
{Clebsch--Gordan} coefficients",
journal = j-CACM,
volume = "8",
number = "4",
pages = "217--217",
month = apr,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:19:59 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Short Algol procedure.",
}
@Article{Heatley:1965:ETT,
author = "A. H. Heatley",
title = "An Extension of the Table of the {Toronto} Function
(in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "19",
number = "89",
pages = "118--123",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Some 5 and 7-digit values.",
}
@Article{James:1965:GSR,
author = "Wendy James and P. Jarratt",
title = "The Generation of Square Roots on a Computer with
Rapid Multiplication Compared with Division (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "19",
number = "91",
pages = "497--500",
month = jul,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nj # " and " # ack-nhfb,
}
@Article{Kazangapov:1965:REF,
author = "A. N. Kazangapov",
title = "Representation of elementary function in the system of
residual classes. ({Russian})",
journal = "Izv. Akad. Nauk Kazah. SSR Ser. Fiz.-Mat. Nauk",
volume = "3",
pages = "79--84",
year = "1965",
MRclass = "65.25",
MRnumber = "33 \#5090",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{King:1965:LED,
author = "R. King",
title = "Letter to the {Editor}: On the Double-Precision Square
Root Routine",
journal = j-CACM,
volume = "8",
number = "4",
pages = "202",
month = apr,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 1 10:15:43 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
keywords = "$\sqrt(x)$; elementary functions; floating-point
arithmetic",
}
@Book{Lyusternik:1965:HCE,
author = "L. A. Lyusternik and O. A. Chervonenkis and A. R.
Yanpol{\'s}kii",
title = "Handbook for Computing Elementary Functions",
volume = "76",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "xiii + 251",
year = "1965",
LCCN = "QA221.L513",
MRclass = "65.25",
MRnumber = "32 \#584",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Translated from the Russian by G. J. Tee. Translation
edited by K. L. Stewart.",
series = "International series of monographs on pure and applied
mathematics",
acknowledgement = ack-nhfb,
}
@Article{Maklovic:1965:IIC,
author = "S. T. Maklovi{\v{c}}",
title = "Investigation of integrals containing {Bessel} and
elementary functions. ({Russian})",
journal = "Ki{\v{s}}inev. Gos. Univ. U{\v{c}}en. Zap.",
volume = "82",
pages = "75--81",
year = "1965",
MRclass = "33.25",
MRnumber = "34 \#387",
MRreviewer = "H. A. Lauwerier",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Markman:1965:RZF,
author = "B. Markman",
title = "The {Riemann} Zeta Function",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "2",
pages = "138--141",
year = "1965",
bibdate = "Sat Oct 30 08:53:17 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: A 25-line Algol procedure for evaluating
$\zeta(s)$ for all $s \neq 1$ is given.",
}
@Article{Medhurst:1965:EI,
author = "R. G. Medhurst and J. H. Roberts",
title = "Evaluation of the Integral ${I}_n(b) = \frac{2}{\pi}
\int^\infty_0 \bigg(\frac{\sin x}{x}\bigg)^n \cos (bx)
dx$",
journal = j-MATH-COMPUT,
volume = "19",
number = "89",
pages = "113--117",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Metze:1965:MSR,
author = "Gernot Metze",
title = "Minimal Square Rooting",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-14",
number = "2",
pages = "181--185",
month = apr,
year = "1965",
CODEN = "IEECA8",
DOI = "http://dx.doi.org/10.1109/PGEC.1965.263963",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 06:26:22 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038397",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Miller:1965:ASF,
author = "G. F. Miller",
title = "Algorithms for Special Functions {II}",
journal = j-NUM-MATH,
volume = "7",
pages = "194--196",
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Sep 16 10:22:10 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Corrections and simplifications of the
$\sin$, $\cos$ and $\tan$ routines given in paper I.
See Clenshaw (1963).",
xxmonth = "(none)",
xxnumber = "(none)",
}
@Article{Nemeth:1965:CEF,
author = "G. N{\'e}meth",
title = "{Chebyshev} expansions for {Fresnel} integrals",
journal = j-NUM-MATH,
volume = "7",
number = "4",
pages = "310--312",
month = aug,
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 20:47:18 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Two series of 12-digit coefficients are
given to cover the range $0 \leq x < \infty$.",
}
@Article{Slepian:1965:EAP,
author = "David Slepian and Estelle Sonnenblick",
title = "Eigenvalues associated with prolate spheroidal wave
functions of zero order",
journal = j-BELL-SYST-TECH-J,
volume = "44",
number = "8",
pages = "1745--1759",
month = oct,
year = "1965",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "65.25",
MRnumber = "0183103 (32 \#585)",
MRreviewer = "R. Nicolovius",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1965/BSTJ.1965.4408.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol44/bstj44-8-1745.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Article{Slepian:1965:SAE,
author = "David Slepian",
title = "Some Asymptotic Expansions for Prolate Spheroidal Wave
Functions",
journal = "J. Math. and Physics {XLIV(2)}",
volume = "??",
number = "??",
pages = "99--140",
month = jun,
year = "1965",
bibdate = "Sat Oct 30 10:46:38 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=189661",
acknowledgement = ack-nhfb,
author-dates = "1923--2007",
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Several complicated expansions are derived
and presented.",
}
@Article{Swarztrauber:1965:LED,
author = "P. N. Swarztrauber",
title = "Letter to the {Editor}: On the Double-Precision Square
Root Routine",
journal = j-CACM,
volume = "8",
number = "4",
pages = "202",
month = apr,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Aug 31 14:02:19 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
keywords = "$\sqrt(x)$; elementary functions; floating-point
arithmetic",
}
@Article{Thompson:1965:AEI,
author = "G. T. Thompson",
title = "The Asymptotic Expansion of the Integrals Psi and Chi
in Terms of {Tchebycheff} Polynomials (in {Technical
Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "19",
number = "92",
pages = "661--663",
month = oct,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Doppler Broadening",
}
@Article{Cody:1966:CCA,
author = "W. J. {Cody, Jr.}",
title = "Corrigenda: ``{Chebyshev} Approximations for the
Complete Elliptic Integrals ${K}$ and ${E}$''",
journal = j-MATH-COMPUT,
volume = "20",
number = "93",
pages = "207--207",
month = jan,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Fri Oct 23 11:13:58 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Cody:1965:CAC}.",
acknowledgement = ack-nhfb,
}
@Article{Doring:1966:CZC,
author = "Boro Doring",
title = "Complex Zeros of Cylinder Functions",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "215--222",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Fike:1966:SAS,
author = "C. T. Fike",
title = "Starting Approximations for Square Root Calculation on
{IBM System\slash 360}",
journal = j-CACM,
volume = "9",
number = "4",
pages = "297--299",
month = apr,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:05 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "See letter \cite{Fike:1967:LER}.",
acknowledgement = ack-nj # " and " # ack-nhfb,
keywords = "$\sqrt(x)$; elementary functions; IBM S/360",
}
@Article{Filippi:1966:BEE,
author = "S. Filippi",
title = "{Die Berechnung einiger elementarer transzendenter
Funktionen mit Hilfe des Richardson-Algorithmus}
\toenglish {The Computation of Some Elementary
Transcendental Functions by Means of the {Richardson}
Algorithm} \endtoenglish",
journal = j-COMPUTING,
volume = "1",
number = "2",
pages = "127--132",
month = jun,
year = "1966",
CODEN = "CMPTA2",
DOI = "http://dx.doi.org/10.1007/BF02342622",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Gautschi:1966:AD,
author = "Walter Gautschi",
title = "{Algorithm 282}: {Derivatives} of $e^x/x$,
$\cos(x)/x$, and $\sin(x)/x$",
journal = j-CACM,
volume = "9",
number = "4",
pages = "272--272",
month = apr,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:05 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Gautschi:1970:RAD}.",
acknowledgement = ack-nhfb,
keywords = "$\cos(x)/x$; $\sin(x)/x$; $e^x/x$; elementary
functions",
}
@Article{Gautschi:1966:ARC,
author = "Walter Gautschi",
title = "{Algorithm 292}: {Regular} {Coulomb} Wave Functions",
journal = j-CACM,
volume = "9",
number = "11",
pages = "793--795",
month = nov,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:10 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Coulomb wave functions; special functions",
}
@Article{Glasser:1966:ESI,
author = "M. L. Glasser",
title = "Evaluation of Some Integrals Involving the
$\psi$-Function (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "332--333",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Gustafson:1966:CAM,
author = "Sven-{\AA}ke Gustafson",
title = "Convergence Acceleration by Means of Numerical
Quadrature",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "6",
number = "2",
pages = "117--128",
month = jun,
year = "1966",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933103",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:09 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=6&issue=2;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=6&issue=2&spage=117",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Hastings:1966:RCB,
author = "C. W. Hastings",
title = "{R66-78} Computation of the Base Two Logarithm of
Binary Number",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-15",
number = "6",
pages = "956--957",
month = dec,
year = "1966",
CODEN = "IEECA8",
DOI = "http://dx.doi.org/10.1109/PGEC.1966.264517",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 05:46:46 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038956",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Book{Jurimae:1966:KFT,
author = "E. J{\"u}rim{\"a}e",
title = "Kompleksmuutuja funktsioonide teooria. {I}:
Elementaarsed funktsioonid. ({Estonian}) [Theory of
functions of a complex variable. {I}: Elementary
functions]",
publisher = "Tartu Riiklik {\"U}likool",
address = "Tartu, Estonia",
pages = "131",
year = "1966",
MRclass = "30.00",
MRnumber = "40 \#5827a",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kogbetliantz:1966:GEF,
author = "E. G. Kogbetliantz",
title = "Generation of Elementary Functions",
crossref = "Ralston:1960:MMD",
pages = "7--35",
year = "1966",
bibdate = "Sat Dec 09 14:09:27 1995",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@TechReport{Kuki:1966:CAE,
author = "H. Kuki",
title = "Comments on the {ANL} Evaluation of the {OS\slash 360
FORTRAN} Math Function Library",
type = "????",
number = "SSD 169, C4773",
institution = "SHARE Secretary Distribution",
address = "????",
pages = "47--53",
year = "1966",
bibdate = "Wed Feb 14 19:13:50 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Larssen:1966:CAC,
author = "Gerhard Meidell Larssen",
title = "Certification of {Algorithm 56}: {Complete} elliptic
integral of the second kind",
journal = j-CACM,
volume = "9",
number = "1",
pages = "12--12",
month = jan,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:04 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Mechel:1966:CMB,
author = "Fr. Mechel",
title = "Calculation of the Modified {Bessel} Functions of the
Second Kind with Complex Argument",
journal = j-MATH-COMPUT,
volume = "20",
number = "95",
pages = "407--412",
month = jul,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Nellis:1966:REE,
author = "W. J. Nellis and B. C. Carlson",
title = "Reduction and Evaluation of Elliptic Integrals",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "223--231",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Pike:1966:ALG,
author = "M. C. Pike and I. D. Hill",
title = "{Algorithm 291}: {Logarithm} of Gamma Function",
journal = j-CACM,
volume = "9",
number = "9",
pages = "684--684",
month = sep,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:09 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$\log(\Gamma(x))$; special functions",
remark = "Fullerton: Short Algol procedure valid only for $x >
0$. Accurate to 10 digits.",
}
@Book{Slater:1966:GHF,
author = "Lucy Joan Slater",
title = "Generalized hypergeometric functions",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiii + 273",
year = "1966",
LCCN = "QA351 .S565",
bibdate = "Sat Oct 30 21:01:55 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Hypergeometric functions",
}
@Article{Takenaga:1966:EIG,
author = "Roy Takenaga",
title = "On the Evaluation of the Incomplete Gamma Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "96",
pages = "606--610",
month = oct,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Thompson:1966:ESI,
author = "Rory Thompson",
title = "Evaluation of ${I}_n(b) = 2\pi^{-1} \int^\infty_0
\big(\frac{sin x}{x}\big) ^n \cos (bx) dx$ and of
Similar Integrals (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "330--332",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Wood:1966:DBI,
author = "Van E. Wood and R. P. Kenan and M. L. Glasser",
title = "{Doppler} Broadening Integrals (in {Technical Notes
and Short Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "96",
pages = "610--611",
month = oct,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Anonymous:1967:CAP,
author = "Anonymous",
title = "Convergence acceleration from the point of view of
linear programming",
journal = j-BIT,
volume = "7",
number = "3",
pages = "256--256",
month = sep,
year = "1967",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01939269",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:10 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=7&issue=3;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=7&issue=3&spage=256",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Bond:1967:AAF,
author = "Gillian Bond and M. L. V. Pitteway",
title = "{Algorithm 301}: {Airy} Function",
journal = j-CACM,
volume = "10",
number = "5",
pages = "291--292",
month = may,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:13 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Airy functions; special functions",
remark = "Fullerton: 100-line Algol program for
$\operatorname{Ai}$, $\operatorname{Bi}$. and their
derivatives.",
}
@Article{Cody:1967:CAN,
author = "W. J. Cody and K. E. Hillstrom",
title = "{Chebyshev} Approximations for the Natural Logarithm
of the Gamma Function",
journal = j-MATH-COMPUT,
volume = "21",
number = "98",
pages = "198--203",
month = apr,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Relative errors down to $10^{-17}$.",
}
@Article{Cody:1967:CRC,
author = "W. J. Cody and Henry C. {Thacher, Jr.}",
title = "Corrigendum: ``{Rational Chebyshev approximations for
Fermi--Dirac integrals of orders $-1/2$, $1/2$, and
$3/2$''}",
journal = j-MATH-COMPUT,
volume = "21",
number = "99",
pages = "525--525",
month = jul,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Mon Sep 26 19:36:03 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Cody:1967:RCA}.",
URL = "http://www.jstor.org/stable/2003289",
acknowledgement = ack-nhfb,
xxmonth = "(none)",
}
@Article{Cody:1967:RCA,
author = "W. J. Cody and Henry C. {Thacher, Jr.}",
title = "Rational {Chebyshev} approximations for {Fermi--Dirac}
integrals of orders $-1/2$, $1/2$, and $3/2$",
journal = j-MATH-COMPUT,
volume = "21",
number = "97",
pages = "30--40",
month = jan,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Mon Sep 26 19:23:19 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Cody:1967:CRC}.",
URL = "http://www.jstor.org/stable/2003468",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Relative errors down to $10^{-9}$.",
}
@Article{DiDonato:1967:ECI,
author = "A. R. DiDonato and M. P. Jarnagin",
title = "The Efficient Calculation of the Incomplete
Beta-Function Ratio for Half-Integer Values of the
Parameters $a, b$",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "652--662",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Fair:1967:RAI,
author = "Wyman G. Fair and Yudell L. Luke",
title = "Rational Approximations to the Incomplete Elliptic
Integrals of the First and Second Kinds",
journal = j-MATH-COMPUT,
volume = "21",
number = "99",
pages = "418--422",
month = jul,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Fettis:1967:MCI,
author = "Henry E. Fettis",
title = "More on the Calculation of the Integral ${I}_n(b) =
\frac{2}{\pi}\int^\infty_0\big(\frac{\sin x}{x}\big)^n
\cos bx dx$ (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "727--730",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Fike:1967:LER,
author = "C. T. Fike",
title = "Letter to the {Editor}: {A} rational approximation
optimal by {Moursund}'s criterion",
journal = j-CACM,
volume = "10",
number = "11",
pages = "683--684",
month = nov,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:16 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Moursund:1967:OSV,Fike:1966:SAS}",
acknowledgement = ack-nhfb,
keywords = "elementary function; square root",
remark = "Gives a starting value for $\sqrt{x}$ ($x$ on
$[1/16,1]$) of $R*(x) = 1.68212586 - 1.28977371 / (x +
0.84106293)$, with an error of $2^{-12.496}$.",
}
@Article{Friedland:1967:AAV,
author = "Paul Friedland",
title = "{Algorithm 312}: {Absolute} Value and Square Root of a
Complex Number",
journal = j-CACM,
volume = "10",
number = "10",
pages = "665--665",
month = oct,
year = "1967",
CODEN = "CACMA2",
DOI = "http://dx.doi.org/10.1145/363717.363780",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:15 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
keywords = "$\abs(z)$; $\sqrt(z)$; elementary functions",
}
@Article{Gunn:1967:ACW,
author = "J. H. Gunn",
title = "{Algorithm 300}: {Coulomb} Wave Functions",
journal = j-CACM,
volume = "10",
number = "4",
pages = "244--245",
month = apr,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:12 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Vos:1973:RAC}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Coulomb wave functions; special functions",
remark = "Fullerton: 150-line Algol procedure that is superceded
by other routines in the physics literature.",
}
@Article{Hill:1967:ACS,
author = "I. D. Hill and M. C. Pike",
title = "{Algorithm 299}: {Chi}-Squared Integral",
journal = j-CACM,
volume = "10",
number = "4",
pages = "243--244",
month = apr,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:12 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Hill:1985:RCS,elLozy:1976:RAC}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "chi-squared; probability functions",
remark = "Fullerton: Short Algol procedure.",
}
@Article{Hill:1967:ANCa,
author = "I. D. Hill and S. A. Joyce",
title = "{Algorithm 304}: {Normal} Curve Integral",
journal = j-CACM,
volume = "10",
number = "6",
pages = "374--375",
month = jun,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:13 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "{\tt normal(x,upper)} calculates the curve, i.e., tail
area of the standardized normal curve, i.e.,
$(1/\sqrt{2\pi})\int \exp(-t^2/2)\,dt$. If {\tt upper}
is {\tt true}, the limits of integration are $x$ and
$\infty$. If {\tt upper} is {\tt false}, the limits of
integration are $-\infty$ and $x$.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "probability functions",
remark = "Fullerton: 75-line Algol procedure that is superceded
by numerous $\erf$ routines.",
}
@Article{Hill:1967:RAS,
author = "I. D. Hill and S. A. Joyce",
title = "Remarks on {Algorithm 123} [{S15}]: {Real} error
function, {\tt ERF(x)}; {Algorithm 180} [{S15}]:
{Error} Function --- Large ${X}$; {Algorithm 181}
[{S15}]: {Complementary} Error Function --- Large
${X}$; {Algorithm 209} [{S15}]: {Gauss}; {Algorithm
226} [{S15}]: {Normal} Distribution Function;
{Algorithm 272} [{S15}]: {Procedure} for the Normal
Distribution Functions; {Algorithm 304} [{S15}]:
{Normal} Curve Integral",
journal = j-CACM,
volume = "10",
number = "6",
pages = "377--378",
month = jun,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:13 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "$\erf(x)$; $\erfc(x)$; probability functions; special
functions",
}
@Article{Kilpatrick:1967:CIP,
author = "J. E. Kilpatrick and Shigetoshi Katsura and Yuji
Inoue",
title = "Calculations of Integrals of Products of {Bessel}
Functions",
journal = j-MATH-COMPUT,
volume = "21",
number = "99",
pages = "407--412",
month = jul,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Knuth:1967:CTE,
author = "Donald E. Knuth and Thomas J. Buckholtz",
title = "Computation of Tangent, {Euler}, and {Bernoulli}
Numbers",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "663--688",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.25",
MRnumber = "36 #4787",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database; MathSciNet database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The first 119. 120 and 250 tangent, Euler
and Bernoulli numbers, respectively.",
}
@Book{MacRobert:1967:SHE,
author = "Thomas Murray MacRobert and Ian Naismith Sneddon",
title = "Spherical harmonics; an elementary treatise on
harmonic functions, with applications",
volume = "98",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
edition = "Third",
pages = "xviii + 349",
year = "1967",
LCCN = "QA406 .M3 1967",
bibdate = "Sat Oct 30 21:22:03 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "International series of monographs in pure and applied
mathematics",
acknowledgement = ack-nhfb,
author-dates = "1884--1962",
subject = "Spherical harmonics",
}
@Article{Moody:1967:ADF,
author = "William T. Moody",
title = "Approximations for the Psi (Digamma) Function (in
Technical Notes and Short Notices)",
journal = j-MATH-COMPUT,
volume = "21",
number = "97",
pages = "112--112",
month = jan,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Moursund:1967:OSV,
author = "David G. Moursund",
title = "Optimal starting values for {Newton--Raphson}
calculation of $\sqrt{x}$",
journal = j-CACM,
volume = "10",
number = "7",
pages = "430--432",
month = jul,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.25",
MRnumber = "39\#2297",
bibdate = "Fri Nov 25 18:20:14 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See letter \cite{Fike:1967:LER}.",
acknowledgement = ack-nhfb,
keywords = "$sqrt(x)$; elementary functions",
remark = "Title of article has incorrect $\sqrt(x^{1/2})$: the
article discusses computation of {\tt sqrt(x)}.",
}
@Article{Olver:1967:BSS,
author = "F. W. J. Olver",
title = "Bounds for the Solutions of Second-Order Linear
Difference Equations [{Anger--Weber} and {Struve}
Functions]",
journal = "J. Res. Nat. Bur. Stand.",
volume = "71B",
number = "4",
pages = "161--166",
month = oct,
year = "1967",
bibdate = "Sat Oct 30 09:37:44 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Research of the National Bureau of
Standards",
remark = "Fullerton: Truncation error estimates of an earlier
published algorithm.",
}
@Article{Pike:1967:RAI,
author = "M. C. Pike and I. D. Hill",
title = "Remark on {Algorithm 179}: {Incomplete} {Beta} ratio",
journal = j-CACM,
volume = "10",
number = "6",
pages = "375--376",
month = jun,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:13 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$B(z,w)$; beta function; special functions",
remark = "Fullerton: Corrections to an Algol procedure.",
}
@Article{Pitteway:1967:RAA,
author = "M. L. V. Pitteway",
title = "Remark on {Algorithm 301}: {Airy} function",
journal = j-CACM,
volume = "10",
number = "7",
pages = "453--453",
month = jul,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:14 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Airy functions; special functions",
remark = "Fullerton: Corrections to an Algol procedure.",
}
@Book{Sen:1967:TSF,
author = "Bibhutibhusan Sen",
title = "A treatise on special functions, for scientists and
engineers",
publisher = "Allied Publishers",
address = "Bombay, India",
pages = "164",
year = "1967",
LCCN = "QA351 .S45",
bibdate = "Fri Oct 29 21:30:38 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Functions, Special; Spherical harmonics",
}
@Article{Verma:1967:NSG,
author = "Arun Verma",
title = "A Note on the Summation of the Generalised
Hypergeometric Functions (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "98",
pages = "232--236",
month = apr,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wigner:1967:BRW,
author = "Eugene P. Wigner",
title = "Book Review: {Wilhelm Magnus, Fritz Oberhettinger, and
R. P. Soni, \booktitle{Formulas and Theorems for the
Special Functions of Mathematical Physics}}",
journal = j-PHYS-TODAY,
volume = "20",
number = "12",
pages = "81--81",
month = dec,
year = "1967",
CODEN = "PHTOAD",
DOI = "http://dx.doi.org/10.1063/1.3034082",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Jul 28 07:53:52 MDT 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.physicstoday.org/search",
URL = "http://link.aip.org/link/phtoad/v20/i12/p81/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
}
@Article{Wood:1967:CEI,
author = "Van E. Wood",
title = "{Chebyshev} Expansions for Integrals of the Error
Function (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "99",
pages = "494--496",
month = jul,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 7-digit approximations for $i^n \erfc(x), n
= 1, 2$.",
}
@Article{Anonymous:1968:ISA,
author = "Anonymous",
title = "Index by Subject to Algorithms, 1960--1968",
journal = j-CACM,
volume = "11",
number = "12",
pages = "827--830",
month = dec,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Sat Oct 30 09:29:34 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Book{Arsenin:1968:BES,
author = "V. Ja. (Vasilii Jakovlevich) Arsenin",
title = "Basic equations and special functions of mathematical
physics",
publisher = "Iliffe",
address = "London, UK",
pages = "7 + 361",
year = "1968",
ISBN = "0-592-05035-1",
ISBN-13 = "978-0-592-05035-5",
LCCN = "QC20 .A693",
bibdate = "Sat Oct 30 18:25:22 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
note = "Translation by S. Chomet, Kings College, London of
Matematicheska{\"e}i{\`\i}a fizika.",
acknowledgement = ack-nhfb,
subject = "Mathematical physics",
}
@Book{Bell:1968:SFS,
author = "W. W. (William Wallace) Bell",
title = "Special functions for scientists and engineers",
publisher = "Van Nostrand",
address = "London, UK",
pages = "xiv + 247",
year = "1968",
LCCN = "QA351 .B4",
bibdate = "Fri Oct 29 21:30:38 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Gamma, Beta, Legendre, Bessel, and
Hypergeometric functions as well as orthogonal
polynomials. Reprinted in \cite{Bell:2004:SFS}.",
subject = "Functions, Special",
}
@Article{Bergson:1968:ACR,
author = "A. Bergson",
title = "Certification of and remark on {Algorithm 304}
[{S15}]: {Normal} curve integral",
journal = j-CACM,
volume = "11",
number = "4",
pages = "271--271",
month = apr,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:19 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "probability functions",
remark = "Fullerton: 50-line Algol Program that is superceded by
numerous {\tt erf} routines.",
}
@Article{Bingulac:1968:RAA,
author = "S. P. Bingulac",
title = "{R68-38} Accurate Analog Computer Generation of
{Bessel} Functions for Large Ranges",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-17",
number = "8",
pages = "819--819",
month = aug,
year = "1968",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1968.229133",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 17:40:50 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1687462",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Chiarella:1968:EIR,
author = "C. Chiarella and A. Reichel",
title = "On the Evaluation of Integrals Related to the Error
Function",
journal = j-MATH-COMPUT,
volume = "22",
number = "101",
pages = "137--143",
month = jan,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Cody:1968:RCAa,
author = "W. J. Cody and H. C. {Thacher, Jr.}",
title = "Rational {Chebyshev} approximations for the
exponential integral {$E_1(x)$}",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "641--649",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.25",
MRnumber = "38\#6745",
bibdate = "Wed Jan 17 08:57:34 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Relative errors down to $10^{-21}$.",
}
@Article{Dorrer:1968:ADS,
author = "Egon Dorrer",
title = "{Algorithm 322}: {$F$}-Distribution [{S14}]",
journal = j-CACM,
volume = "11",
number = "2",
pages = "116--117",
month = feb,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:18 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 50-line Algol Program.",
}
@Book{Fike:1968:CEM,
author = "C. T. Fike",
title = "Computer Evaluation of Mathematical Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 227",
year = "1968",
LCCN = "QA297 .F5",
bibdate = "Thu Sep 1 10:12:51 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Fleckner:1968:MCF,
author = "Oscar L. Fleckner",
title = "A Method for the Computation of the {Fresnel}
Integrals and Related Functions",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "635--640",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Galant:1968:HAG,
author = "D. C. Galant and P. F. Byrd",
title = "High Accuracy Gamma Function Values for Some Rational
Arguments (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "22",
number = "104",
pages = "885--887",
month = oct,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Hart:1968:CAa,
author = "John F. Hart and E. W. Cheney and Charles L. Lawson
and Hans J. Maehly and Charles K. Mesztenyi and John R.
Rice and Henry G. {Thatcher, Jr.} and Christoph
Witzgall",
title = "Computer Approximations",
publisher = pub-REK,
address = pub-REK:adr,
pages = "x + 343",
year = "1968",
ISBN = "0-88275-642-7",
ISBN-13 = "978-0-88275-642-4",
LCCN = "QA 297 C64 1978",
bibdate = "Tue Dec 14 22:55:11 1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Reprinted 1978 with corrections.",
acknowledgement = ack-nhfb,
}
@Book{Hart:1968:CAb,
author = "John F. Hart and E. W. Cheney and Charles L. Lawson
and Hans J. Maehly and Charles K. Mesztenyi and John R.
Rice and Henry G. {Thatcher, Jr.} and Christoph
Witzgall",
title = "Computer Approximations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 343",
year = "1968",
ISBN = "0-471-35630-1",
ISBN-13 = "978-0-471-35630-1",
LCCN = "????",
bibdate = "Sat Jan 14 14:53:06 2006",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Luke:1968:AEI,
author = "Yudell L. Luke",
title = "Approximations for Elliptic Integrals",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "627--634",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Mavromatis:1968:IFP,
author = "H. A. Mavromatis and K. Schilcher",
title = "Inverse Functions of the Products of Two {Bessel}
Functions and Applications to Potential Scattering",
journal = j-J-MATH-PHYS,
volume = "9",
number = "10",
pages = "1627--1632",
month = oct,
year = "1968",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.1664492",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 11:55:17 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v9/i10/p1627_s1",
acknowledgement = ack-nhfb,
classification = "A0380 (General theory of scattering)",
corpsource = "Dept. Physics, American Univ. Beirut, Lebanon",
keywords = "functions; mathematics; scattering",
onlinedate = "28 October 2003",
pagecount = "6",
}
@Article{Mechel:1968:IRT,
author = "Fr. Mechel",
title = "Improvement in Recurrence Techniques for the
Computation of {Bessel} Functions of Integral Order (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "22",
number = "101",
pages = "202--205",
month = jan,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Book{Miller:1968:LTS,
author = "Willard Miller",
title = "{Lie} theory and special functions",
volume = "43",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xv + 338",
year = "1968",
ISBN = "0-12-497450-3",
ISBN-13 = "978-0-12-497450-0",
LCCN = "QA387 .M55 1968eb",
bibdate = "Sat Oct 30 19:07:04 MDT 2010",
bibsource = "catalog.library.cornell.edu:7090/voyager;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Mathematics in science and engineering",
acknowledgement = ack-nhfb,
remark = "Reprinted 1979 with same ISBN.",
subject = "Lie groups; Functions, Special",
}
@Article{Nagashima:1968:EFN,
author = "Takashi Nagashima",
title = "On elementary functions of natural numbers",
journal = "Hitotsubashi J. Arts Sci.",
volume = "9",
pages = "50--58",
year = "1968",
ISSN = "0073-2788",
MRclass = "02.72",
MRnumber = "MR0232678 (38 \#1001)",
MRreviewer = "R. L. Goodstein",
bibdate = "Mon Oct 24 11:33:08 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Hitotsubashi Journal of Arts \& Sciences",
}
@Article{Ng:1968:DSS,
author = "Edward W. Ng",
title = "On the direct summation of series involving higher
transcendental functions",
journal = j-J-COMPUT-PHYS,
volume = "3",
number = "2",
pages = "334--338",
month = oct,
year = "1968",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(68)90029-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Dec 31 07:21:24 MST 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999168900296",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{OBrien:1968:CAC,
author = "William M. O'Brien and Joan Wood",
title = "Certification of {Algorithm 299} [{S15}]:
{Chi-squared} integral",
journal = j-CACM,
volume = "11",
number = "4",
pages = "271--271",
month = apr,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:19 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "chi-squared; probability functions",
remark = "Fullerton: Corrections to an Algol procedure.",
}
@Article{Osborn:1968:IBF,
author = "David Osborn and Richard Madey",
title = "The Incomplete Beta Function and its Ratio to the
Complete Beta Function",
journal = j-MATH-COMPUT,
volume = "22",
number = "101",
pages = "159--162",
month = jan,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Richardson:1968:SUP,
author = "Daniel Richardson",
title = "Some Undecidable Problems Involving Elementary
Functions of a Real Variable",
journal = j-J-SYMBOLIC-LOGIC,
volume = "33",
number = "4",
pages = "514--520",
month = dec,
year = "1968",
CODEN = "JSYLA6",
ISSN = "0022-4812 (print), 1943-5886 (electronic)",
MRclass = "02.75",
MRnumber = "39 #1330",
bibdate = "Mon May 19 13:04:20 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Schmidt:1968:AEK,
author = "Jochen W. Schmidt",
title = "{Asymptotische Einschlie{\ss}ung bei
konvergenzbeschleunigenden Verfahren. II}. ({German})
[{Asymptotic enclosure with convergence acceleration
method. II}]",
journal = j-NUM-MATH,
volume = "11",
number = "1",
pages = "53--56",
month = jan,
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
language = "German",
}
@Article{Strecok:1968:CIE,
author = "Anthony J. Strecok",
title = "On the Calculation of the Inverse of the Error
Function",
journal = j-MATH-COMPUT,
volume = "22",
number = "101",
pages = "144--158",
month = jan,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2004772",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 18-digit approximations.",
}
@Book{Talman:1968:SFG,
author = "James D. Talman",
title = "Special Functions: {A} Group Theoretic Approach Based
on Lectures by {Eugene P. Wigner}",
publisher = pub-BENJAMIN,
address = pub-BENJAMIN:adr,
pages = "xii + 260",
year = "1968",
LCCN = "????",
bibdate = "Sat Oct 30 16:57:02 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "With an introduction by Eugene P. Wigner.",
series = "The mathematical physics monograph series",
acknowledgement = ack-nhfb,
keywords = "group theory; mathematical function; special
functions",
}
@Article{Tooper:1968:SCP,
author = "Robert F. Tooper and John Mark",
title = "Simplified Calculation of {$\operatorname{Ei}(x)$} for
Positive Arguments, and a Short Table of
$\operatorname{Shi}(x)$ (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "22",
number = "102",
pages = "448--449",
month = apr,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "exponential integral ($\operatorname{Ei}(x)$);
hyperbolic sine integral ($\operatorname{Shi}(x)$)",
}
@Article{Wilcox:1968:ZTN,
author = "Peter H. Wilcox",
title = "The Zeros of ${P}^1_\nu (\cos \theta)$ and
$\frac{\partial}{\partial \theta} {P}^1_\mu (\cos
\theta)$ (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "22",
number = "101",
pages = "205--208",
month = jan,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2004783",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: $P_\nu^1$ are Legendre functions.",
}
@Article{Wimp:1968:RFH,
author = "Jet Wimp",
title = "Recursion Formulae of Hypergeometric Functions",
journal = j-MATH-COMPUT,
volume = "22",
number = "102",
pages = "363--373",
month = apr,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Witte:1968:AAJ,
author = "B. F. W. Witte",
title = "{ACM Algorithm 332}: {Jacobi} Polynomials",
journal = j-CACM,
volume = "11",
number = "6",
pages = "436--437",
month = jun,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Thu Sep 08 09:33:08 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Skovgaard:1975:RAJ}.",
acknowledgement = ack-nhfb,
}
@Article{Wrench:1968:CTS,
author = "John W. {Wrench, Jr.}",
title = "Concerning Two Series for the Gamma Function",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "617--626",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRnumber = "MR 0237078 (38:5371)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Aharoni:1969:C,
author = "Amikam Aharoni",
title = "Computation of {$K_p(x)$}",
journal = j-J-COMPUT-PHYS,
volume = "4",
number = "2",
pages = "270--271",
month = aug,
year = "1969",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(69)90072-2",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 08:28:03 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1960.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999169900722",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Boersma:1969:ECW,
author = "J. Boersma",
title = "Expansions for {Coulomb} Wave Functions",
journal = j-MATH-COMPUT,
volume = "23",
number = "105",
pages = "51--59",
month = jan,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Book{Buchholz:1969:CHF,
author = "Herbert Buchholz",
title = "The confluent hypergeometric function with special
emphasis on its applications",
volume = "15",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xviii + 238",
year = "1969",
LCCN = "QA351 .B813",
bibdate = "Sat Oct 30 21:06:31 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
note = "Translation by H. Lichtblau and K. Wetzel to English
from German ``Die konfluente hypergeometrische
Funktion.''",
series = "Springer tracts in natural philosophy",
acknowledgement = ack-nhfb,
subject = "Hypergeometric functions",
}
@Article{Bulirsch:1969:EBT,
author = "R. Bulirsch",
title = "An extension of the {Bartky}-transformation to
incomplete elliptic integrals of the third kind",
journal = j-NUM-MATH,
volume = "13",
number = "3",
pages = "266--284",
month = jul,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Bulirsch:1969:NCE,
author = "R. Bulirsch",
title = "Numerical calculation of elliptic integrals and
elliptic functions. {III}",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "305--315",
month = aug,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Carlson:1969:CBE,
author = "B. C. Carlson",
title = "A connection between elementary functions and higher
transcendental functions",
journal = j-SIAM-J-APPL-MATH,
volume = "17",
pages = "116--148",
year = "1969",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
MRclass = "33.20 (30.00)",
MRnumber = "40 \#408",
MRreviewer = "S. K. Bose",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Clark:1969:SCE,
author = "N. W. Clark and W. J. Cody",
title = "Self-contained exponentiation",
crossref = "AFIPS:1969:ACPb",
pages = "701--706",
year = "1969",
bibdate = "Wed Sep 07 10:49:33 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Clemm:1969:ACV,
author = "Donald S. Clemm",
title = "{Algorithm 352}: {Characteristic} Values and
Associated Solutions of {Mathieu}'s Differential
Equation [{S22}]",
journal = j-CACM,
volume = "12",
number = "7",
pages = "399--407",
month = jul,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:27 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Frisch:1972:RAR}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4170 (Differential equations); C7300 (Natural
sciences computing)",
corpsource = "Wright-Patterson Air Force Base, USA",
keywords = "differential equations; function evaluation;
subroutines",
remark = "Fullerton: Long set of FORTRAN routines to evaluate
Mathieu functions as well as several Bessel
functions.",
}
@Article{Cobb:1969:CAS,
author = "S. M. Cobb",
title = "Certification of {Algorithm 47} [{S16}]: {Associated}
{Legendre} functions of the first kind for real or
imaginary arguments",
journal = j-CACM,
volume = "12",
number = "11",
pages = "635--636",
month = nov,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:28 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "associated Legendre functions of the first kind;
special functions",
remark = "Fullerton: Numerous additional corrections and changes
to an Algol procedure.",
}
@Article{Cody:1969:CAE,
author = "W. J. Cody and Henry C. {Thacher, Jr.}",
title = "{Chebyshev} Approximations for the Exponential
Integral {$\hbox{Ei}(x)$}",
journal = j-MATH-COMPUT,
volume = "23",
number = "106",
pages = "289--303",
month = apr,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.25",
MRnumber = "39\#3680",
bibdate = "Wed Jan 17 08:57:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1969:CRA,
author = "W. J. Cody and G. Meinardus and R. S. Varga",
title = "{Chebyshev} rational approximations to $e^{-x}$ on
$[0,\infty)$ and applications to heat conduction
problems",
journal = j-J-APPROX-THEORY,
volume = "2",
number = "??",
pages = "50--65",
month = "??",
year = "1969",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
MRclass = "65.67 (41.00)",
MRnumber = "40\#999",
bibdate = "Wed Jan 17 08:57:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-wjc,
}
@Article{Farkas:1969:CAS,
author = "I. Farkas",
title = "Certification of {Algorithm 165} [{S21}]: {Complete}
elliptic integrals",
journal = j-CACM,
volume = "12",
number = "1",
pages = "38--38",
month = jan,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:24 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "special functions",
}
@Article{Gautschi:1969:ACE,
author = "Walter Gautschi",
title = "{Algorithm 363}: {Complex} Error Function [{S15}]",
journal = j-CACM,
volume = "12",
number = "11",
pages = "635--635",
month = nov,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:28 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See certification \cite{Kolbig:1972:CAC}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "$\erf(z)$; special functions",
remark = "Fullerton: 50-line Algol procedure with accuracy to 10
decimal places.",
}
@Article{Gautschi:1969:RAS,
author = "Walter Gautschi",
title = "Remark on {Algorithm 292} [{S22}]: {Regular} {Coulomb}
wave functions",
journal = j-CACM,
volume = "12",
number = "5",
pages = "280--280",
month = may,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:26 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Coulomb wave functions; special functions",
remark = "Fullerton: The first of many remarks.",
}
@Article{Herman:1969:NHE,
author = "G. T. Herman",
title = "A new hierarchy of elementary functions",
journal = j-PROC-AM-MATH-SOC,
volume = "20",
pages = "557--562",
year = "1969",
CODEN = "PAMYAR",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "02.77",
MRnumber = "40 \#4110",
MRreviewer = "G. E. Sacks",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Holzwarth:1969:VBB,
author = "A. Holzwarth",
title = "{Ein Verfahren zur Bestimmung bester
Tscheb\-y\-scheff-Ap\-prox\-i\-ma\-tion\-en der
Quadratwurzelfunktion}. ({German}) {A Method for
Determination of Best Chebyshev Approximations to the
Square Root Function}",
journal = j-COMPUTING,
volume = "4",
number = "2",
pages = "168--177",
month = jun,
year = "1969",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-nj # " and " # ack-nhfb,
affiliation = "T{\"u}bingen, West Germany",
classification = "C4130",
description = "Chebyshev approximation; numerical analysis",
fjournal = "Computing",
language = "German",
}
@Article{King:1969:LEN,
author = "Richard F. King and David L. Phillips",
title = "The Logarithmic Error and {Newton}'s Method for the
Square Root",
journal = j-CACM,
volume = "12",
number = "2",
pages = "87--88",
month = feb,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.50",
MRnumber = "44\#2333",
bibdate = "Fri Nov 25 18:20:24 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis)",
corpsource = "Argonne Nat. Lab., Argonne, IL, USA",
keywords = "$\sqrt(x)$; elementary functions; function evaluation;
iterative methods",
}
@Article{Kolbig:1969:CASa,
author = "K. S. K{\"o}lbig",
title = "Certification of {Algorithm 292} [{S22}]: {Regular}
{Coulomb} wave functions and of remark on {Algorithm
292} [{S22}]: {Regular} {Coulomb} wave functions",
journal = j-CACM,
volume = "12",
number = "5",
pages = "278--279",
month = may,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:26 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Coulomb wave functions; special functions",
remark = "Fullerton: Tests of an Algol procedure.",
}
@Article{Kolbig:1969:CASb,
author = "K. S. K{\"o}lbig",
title = "Certification of {Algorithm 300} [{S22}]: {Coulomb}
wave functions",
journal = j-CACM,
volume = "12",
number = "5",
pages = "279--280",
month = may,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:26 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Coulomb wave functions; special functions",
remark = "Fullerton: The first of many remarks.",
}
@Article{Kolbig:1969:RAS,
author = "K. S. K{\"o}lbig",
title = "Remark on {Algorithm 300} [{S22}]: {Coulomb} wave
functions",
journal = j-CACM,
volume = "12",
number = "12",
pages = "692--692",
month = dec,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:29 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Coulomb wave functions; special functions",
remark = "Fullerton: One of many remarks.",
}
@Article{Lewis:1969:FII,
author = "Richard L. Lewis",
title = "On Finite Integrals Involving Trigonometric, {Bessel},
and {Legendre} Functions",
journal = j-MATH-COMPUT,
volume = "23",
number = "106",
pages = "259--273",
month = apr,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Luke:1969:SFTa,
author = "Yudell L. Luke",
title = "The Special Functions and Their Approximations",
volume = "I",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xx + 349",
year = "1969",
ISBN = "0-12-459901-X",
ISBN-13 = "978-0-12-459901-7",
LCCN = "QA351 .L94 1969",
bibdate = "Wed Dec 15 17:55:35 1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Mathematics in Science and Engineering, Volume 53-I,
Editor: Richard Bellman",
acknowledgement = ack-nhfb,
}
@Book{Luke:1969:SFTb,
author = "Yudell L. Luke",
title = "The Special Functions and Their Approximations",
volume = "II",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xx + 485",
year = "1969",
ISBN = "0-12-459902-8",
ISBN-13 = "978-0-12-459902-4",
LCCN = "QA351 .L797",
bibdate = "Wed Dec 15 17:55:38 1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Mathematics in Science and Engineering, Volume 53-II,
Editor: Richard Bellman",
acknowledgement = ack-nhfb,
}
@TechReport{Moses:1969:ICS,
author = "Joel Moses",
title = "The integration of a class of special functions with
the {Risch} algorithm",
type = "{AI} Memo (180)",
number = "MAC-M-421",
institution = "Artificial Intelligence Laboratory, Massachusetts
Institute of Technology",
address = "Cambridge, MA, USA",
pages = "13 + 1",
year = "1969",
LCCN = "Q334 M533 no. 180",
bibdate = "Sat Oct 30 18:37:28 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Ng:1969:CPE,
author = "Edward W. Ng and C. J. Devine and R. F. Tooper",
title = "{Chebyshev} Polynomial Expansion of {Bose--Einstein}
Functions of Orders $1$ to $10$",
journal = j-MATH-COMPUT,
volume = "23",
number = "107",
pages = "639--643",
month = jul,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: $B_p(\eta) = \frac{1}{\Gamma(p - 1)}
\int_0^\infty \frac{x^p}{e^{x - \eta} - 1} \, dt$.
Relative errors down to $3 \times 10^{-19}$.",
}
@Article{Reichel:1969:IPV,
author = "Alex Reichel",
title = "The Integral of the $n$th Power of the {Voigt}
Function",
journal = j-MATH-COMPUT,
volume = "23",
number = "107",
pages = "645--649",
month = jul,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The function $\chi_n(t) =
\int_{-\infty}^\infty \{ U_0(x, t) \}^n \, dx$, where
$U_0(x, t) = \frac{1}{\sqrt{4 \pi t}} \frac{\exp[-(x -
y)^2 / 4 t]}{1 + y^2} \, dy$ is considered.",
}
@Article{Robertson:1969:CNC,
author = "G. H. Robertson",
title = "Computation of the Noncentral Chi-Square
Distribution",
journal = j-BELL-SYST-TECH-J,
volume = "48",
number = "1",
pages = "201--207",
month = jan,
year = "1969",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1969/BSTJ.1969.4801.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol48/bstj48-1-201.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Article{Sollfrey:1969:IFP,
author = "William Sollfrey",
title = "Inverse Functions of the Products of Two {Bessel}
Functions",
journal = j-J-MATH-PHYS,
volume = "10",
number = "8",
pages = "1429--1430",
month = aug,
year = "1969",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.1664985",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 11:55:26 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v10/i8/p1429_s1",
acknowledgement = ack-nhfb,
classification = "A0200 (Mathematical methods in physics)",
corpsource = "RAND Corp., Santa Monica, CA, USA",
keywords = "functions",
onlinedate = "4 November 2003",
pagecount = "2",
}
@Article{TadeudeMedeiros:1969:APF,
author = "Adilson {Tadeu de Medeiros} and Georges Schwachheim",
title = "{Algorithm 349}: {Polygamma} Functions with Arbitrary
Precision [{S14}]",
journal = j-CACM,
volume = "12",
number = "4",
pages = "213--214",
month = apr,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Nov 25 18:20:25 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See certification \cite{Lewis:1975:CPF}.",
abstract = "This procedure assigns to polygam the value of the
polygamma function of order n for any real argument
$z$. For $n = 0$, we have the psi or digamma function,
for $n = 1$ the trigamma function, for $n = 2$ the
tetragamma function, and so on.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7300 (Natural sciences computing)",
corpsource = "Centro Brasileiro de Pesquisas Fisicas, Rio de
Janeiro, Brazil",
keywords = "digamma function; mathematics; polygamma function; psi
function; special functions; subroutines; tetragamma
function; trigamma function",
remark = "Fullerton: 150-line Algol procedure.",
}
@InProceedings{Tesler:1969:AEF,
author = "G. S. Tesler",
booktitle = "Mathematical provisioning of electronic digital
computers and effective organization of the computing
process (Proc. Sem., Kiev, 1969) ({Russian}), No. 2",
title = "The approximation of elementary functions by means of
polynomials of degree zero and one. ({Russian})",
publisher = "Akad. Nauk Ukrain. SSR",
address = "Kiev, USSR",
pages = "75--88",
year = "1969",
MRclass = "65D15",
MRnumber = "45 \#4600",
MRreviewer = "I. Selihova",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Turner:1969:DSC,
author = "L. R. Turner",
title = "Difficulty in {$\sin$\slash$\cos$} Routine",
journal = j-SIGNUM,
volume = "4",
number = "3",
pages = "13--13",
year = "1969",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
bibdate = "Thu Feb 15 15:23:23 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{VandeVel:1969:SEM,
author = "H. {Van de Vel}",
title = "On the Series Expansion Method for Computing
Incomplete Elliptic Integrals of the First and Second
Kinds",
journal = j-MATH-COMPUT,
volume = "23",
number = "105",
pages = "61--69",
month = jan,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Zaker:1969:CCE,
author = "T. A. Zaker",
title = "Calculation of the complementary error function of
complex argument",
journal = j-J-COMPUT-PHYS,
volume = "4",
number = "3",
pages = "427--430",
month = oct,
year = "1969",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(69)90011-4",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Thu Dec 04 16:20:39 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1960.bib",
acknowledgement = ack-nhfb,
}
@Article{Bray:1970:CAR,
author = "T. Bray",
title = "Certification of {Algorithm 22, Ricatti--Bessel
Functions of First and Second Kind}",
journal = j-CACM,
volume = "13",
number = "7",
pages = "448--448",
month = jul,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Fri Oct 29 21:49:15 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: An error in an Algol procedure is
reported.",
}
@Article{Carlitz:1970:SRF,
author = "L. Carlitz",
title = "Some Reduction Formulas for Generalized Hypergeometric
Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "1",
number = "2",
pages = "243--245",
month = may,
year = "1970",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
bibdate = "Sun Nov 28 19:21:58 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/1/2;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
}
@Article{Chen:1970:CGI,
author = "Reuven Chen",
title = "On the Computation of the Generalized Integral in Glow
Curve Theory",
journal = j-J-COMPUT-PHYS,
volume = "6",
number = "2",
pages = "314--316",
month = oct,
year = "1970",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(70)90027-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Fri Oct 29 22:09:19 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
}
@Article{Cochran:1970:NTF,
author = "James Alan Cochran and Judith N. Hoffspiegel",
title = "Numerical Techniques for Finding $\nu$-Zeros of
{Hankel} Functions",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "413--422",
month = apr,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cody:1970:CAC,
author = "W. J. Cody and K. E. Hillstrom",
title = "{Chebyshev} Approximations for the {Coulomb} Phase
Shift",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "671--677",
month = jul,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65.25",
MRnumber = "42\#8661",
bibdate = "Wed Jan 17 08:57:04 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-wjc,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Relative errors down to $4 \times
10^{-19}$.",
}
@Article{Cody:1970:RAC,
author = "W. J. Cody and Kathleen A. Paciorek",
title = "Remark on {Algorithm} 292 [{S22}]: Regular {Coulomb}
Wave Functions",
journal = j-CACM,
volume = "13",
number = "9",
pages = "573",
month = sep,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Wed Nov 16 23:58:51 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-wjc,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: More modifications to an Algol procedure.",
}
@Article{Darlington:1970:AAA,
author = "Sidney Darlington",
title = "Analytical Approximations to Approximations in the
{Chebyshev} Sense",
journal = j-BELL-SYST-TECH-J,
volume = "49",
number = "1",
pages = "1--32",
month = jan,
year = "1970",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1970/BSTJ.1970.4901.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol49/bstj49-1-1.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@TechReport{DeLugish:1970:CAA,
author = "Bruce Gene DeLugish",
title = "A Class of Algorithms for Automatic Evaluation of
Certain Elementary Functions in a Binary Computer",
number = "399",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
pages = "191",
year = "1970",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1970:RAD,
author = "Walter Gautschi and Bruce J. Klein",
title = "Remark on {Algorithm 282, Derivatives of $e^x / x$,
$\cos(x) / x$, and $\sin(x) / x$}",
journal = j-CACM,
volume = "13",
number = "1",
pages = "53--54",
month = jan,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Sat Oct 30 07:27:17 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Gautschi:1966:AD}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Corrections are given for several Algol
procedures.",
}
@Article{Gautschi:1970:RCC,
author = "Walter Gautschi and Bruce J. Klein",
title = "Recursive computation of certain derivatives --- {A}
study of error propagation",
journal = j-CACM,
volume = "13",
number = "1",
pages = "7--9",
month = jan,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
MRclass = "65Q05",
MRnumber = "46 1115",
MRreviewer = "D. F. Mayers",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "A brief study is made of the propagation of errors in
linear first-order difference equations. The recursive
computation of successive derivatives of $(e^x)/x$ and
$(\cos x)/x$ is considered as an illustration.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4110 (Error analysis in numerical methods)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
keywords = "difference equations; error analysis; error
propagation; recursive computation; successive
derivatives",
remark = "Fullerton: Recursive calculation of derivatives of
$e^x / x$ and $\cos(x) / x$ is considered.",
}
@Article{Hill:1970:AASa,
author = "G. W. Hill",
title = "{ACM Algorithm 395}: {Student}'s $t$-Distribution",
journal = j-CACM,
volume = "13",
number = "10",
pages = "617--619",
month = oct,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{elLozy:1979:RAS,Hill:1981:RSD}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7310 (Mathematics computing)",
corpsource = "CSIRO, Glen Osmond, Australia",
keywords = "statistics; subroutines",
remark = "Fullerton: Description of a 50-line Algol procedure.",
}
@Article{Hill:1970:AASb,
author = "G. W. Hill",
title = "{ACM Algorithm 396}: {Student}'s $t$-Quantiles",
journal = j-CACM,
volume = "13",
number = "10",
pages = "619--620",
month = oct,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also
\cite{Hill:1981:RSD,Hill:1981:RSQ,elLozy:1979:RAS}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4120 (Functional analysis); C7310 (Mathematics
computing)",
corpsource = "CSIRO, Glen Osmond, Australia",
keywords = "function evaluation; statistics; subroutines",
remark = "Fullerton: Description of a 50-line Algol procedure.",
}
@Article{Holmgren:1970:RAN,
author = "Bo Holmgren",
title = "Remark on {Algorithm 304, Normal Curve Integral}",
journal = j-CACM,
volume = "13",
number = "10",
pages = "624--624",
month = oct,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Sat Oct 30 08:18:38 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Jones:1970:GHF,
author = "Alan L. Jones",
title = "The generalized hypergeometric function",
journal = j-SIGPLAN,
volume = "5",
number = "3",
pages = "26--27",
month = mar,
year = "1970",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Thu May 25 06:40:57 MDT 2006",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Kolbig:1970:CZI,
author = "K. S. Kolbig",
title = "Complex Zeros of an Incomplete {Riemann} Zeta Function
and of the Incomplete Gamma Function",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "679--696",
month = jul,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@TechReport{Lugish:1970:CAA,
author = "B. G. de Lugish",
title = "A Class of Algorithms for Automatic Evaluation of
Certain Elementary Function in a Binary Computer",
type = "Report",
number = "399",
institution = "Department of Computer Science, University of
Illinois",
pages = "????",
month = jun,
year = "1970",
bibdate = "Fri Sep 02 22:49:20 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Luke:1970:FAE,
author = "Yudell L. Luke",
title = "Further Approximations for Elliptic Integrals",
journal = j-MATH-COMPUT,
volume = "24",
number = "109",
pages = "191--198",
month = jan,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Minton:1970:GHF,
author = "Barry M. Minton",
title = "Generalized Hypergeometric Function of Unit Argument",
journal = j-J-MATH-PHYS,
volume = "11",
number = "4",
pages = "1375--1376",
month = apr,
year = "1970",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.1665270",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:39:25 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v11/i4/p1375_s1",
acknowledgement = ack-nhfb,
classification = "A0200 (Mathematical methods in physics)",
corpsource = "Univ. Calgary, Alta., Canada",
keywords = "functions",
onlinedate = "28 October 2003",
pagecount = "2",
}
@Article{Ng:1970:CAE,
author = "E. N. Ng",
title = "Certification of {Algorithm 385, Exponential Integral
{$\operatorname{Ei}(x)$}}",
journal = j-CACM,
volume = "13",
number = "7",
pages = "448--449",
month = jul,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Sat Oct 30 09:18:14 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Comments on a FORTRAN routine.",
}
@Article{Ng:1970:CDF,
author = "E. W. Ng and C. J. Devine",
title = "On the Computation of {Debye} Functions of Integer
Orders",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "405--407",
month = apr,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Debye functions are incomplete Riemann zeta
functions. $\overbar{D}_p(x) = \frac{1}{\Gamma(p - 1)}
\int_0^x \frac{t^p}{e^t - 1} \, dt$ and the
complementary integral are calculated to 20 digits.",
}
@Article{Ninomiya:1970:BRS,
author = "Ichizo Ninomiya",
title = "Best Rational Starting Approximations and Improved
{Newton} Iteration for the Square Root",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "391--404",
month = apr,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
database",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Nagoya Univ., Chikua ku, Japan",
keywords = "computing procedure; function approximation; iterative
methods; Newton iteration; rational approximation;
square root",
treatment = "T Theoretical or Mathematical",
}
@Article{Paciorek:1970:AEI,
author = "K. A. Paciorek",
title = "{Algorithm 385}: {Exponential} Integral
{$\operatorname{Ei}(x)$}",
journal = j-CACM,
volume = "13",
number = "7",
pages = "446--447",
month = jul,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Redish:1970:RAE,Frisch:1972:RAR}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4160 (Numerical integration and differentiation);
C7300 (Natural sciences computing)",
corpsource = "Argonne Nat. Lab., IL, USA",
keywords = "integration; subroutines",
remark = "Fullerton: A 100-line FORTRAN routine for both
$\operatorname{E1}(x)$ and $\operatorname{Ei}(x)$.",
}
@Article{Raff:1970:CGF,
author = "Morton S. Raff",
title = "On Calculating the Gamma Function of Non-Integral
Arguments",
journal = j-AMER-STAT,
volume = "24",
number = "2",
pages = "22--24",
month = apr,
year = "1970",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:18 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326364;
http://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.jstor.org/stable/2681926",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
}
@Article{Redish:1970:RAE,
author = "K. A. Redish",
title = "Remark on {Algorithm 385, Exponential Integral
$\operatorname{Ei}(x)$}",
journal = j-CACM,
volume = "13",
number = "12",
pages = "750--750",
month = dec,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Sat Oct 30 09:56:59 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Paciorek:1970:AEI}",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Minor corrections to a FORTRAN routine.",
}
@TechReport{Rothmaier:1970:BQN,
author = "B. Rothmaier",
title = "{Die Berechnung der Quadratwurzel nebst Schranken auf
Dualmaschinen} \toenglish {The Computation of the
Square Root together with [Interval] Bounds on Binary
Machines} \endtoenglish",
type = "{Interner Bericht}",
number = "Nr. 70/17",
institution = "Institut f{\"u}r Informatik, Universit{\"a}t
Karlsruhe",
pages = "??",
year = "1970",
bibdate = "Fri Sep 16 16:30:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@TechReport{Rothmaier:1970:DSB,
author = "B. Rothmaier",
title = "{Dokumentation der Standardfunktionen des
Betriebssystems {Hydra X8}} \toenglish {Documentation}
of the Elementary Functions of the Operating System
{Hydra X8} \endtoenglish",
type = "Interner {Bericht}",
number = "Nr. 70/8",
institution = "Institut f{\"u}r Informatik, Universit{\"a}t
Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1970",
bibdate = "Fri Jun 11 12:37:53 1999",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Smith:1970:ASH,
author = "Robert R. Smith and Dennis McCall",
title = "{Algorithm 392}: {Systems} of Hyperbolic {P.D.E.}",
journal = j-CACM,
volume = "13",
number = "9",
pages = "567--570",
month = sep,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Frisch:1972:RAR}.",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C7310 (Mathematics
computing)",
corpsource = "US Naval Electronics Lab. Center, San Diego, CA, USA",
keywords = "boundary-value problems; partial differential
equations",
}
@Article{Squire:1970:RAI,
author = "William Squire",
title = "A Rational Approximation to an Integral Appearing in
Glow Curve Theory",
journal = j-J-COMPUT-PHYS,
volume = "6",
number = "1",
pages = "152--253",
month = aug,
year = "1970",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(70)90016-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Oct 30 10:57:00 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
}
@Article{Srivastava:1970:CRI,
author = "H. M. Srivastava",
title = "Certain Results Involving Generalized Hypergeometric
Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "1",
number = "1",
pages = "75--81",
month = feb,
year = "1970",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
bibdate = "Sun Nov 28 19:21:56 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/1/1;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
}
@Article{Stegun:1970:ACM,
author = "I. A. Stegun and R. Zucker",
title = "Automatic Computing Methods for Special Functions.
Part 1. {Error}, Probability, and Related Functions",
journal = "J. Res. Nat. Bur. Stand.",
volume = "74B",
number = "3",
pages = "211--224",
month = jul,
year = "1970",
bibdate = "Sat Oct 30 10:58:39 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Adjustable double precision FORTRAN
routines for $\erf$ and $\erfc$.",
}
@Article{Wilson:1970:OSA,
author = "M. Wayne Wilson",
title = "Optimal Starting Approximations for Generating Square
Root for Slow or No Divide",
journal = j-CACM,
volume = "13",
number = "9",
pages = "559--560",
month = sep,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.50",
MRnumber = "44\#2338",
MRreviewer = "J. E. {Dennis, Jr.}",
bibdate = "Tue Apr 08 20:38:30 1997",
bibsource = "Compendex database;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
abstract = "On computing machines with slow or no division, it is
preferable to use an iterative scheme for the square
root different from the classical Heron scheme. The
problem of optimal initial approximants is considered,
and some optimal polynomial initial approximations are
tabulated.",
acknowledgement = ack-nj # " and " # ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "IBM, Houston, TX, USA",
journalabr = "Commun ACM",
keywords = "CACMA; digital arithmetic; ele; iterative methods;
mathematics; numerical methods; optimisation",
}
@TechReport{Yohe:1970:RBC,
author = "J. M. Yohe",
title = "Rigorous Bounds on Computed Approximations to Square
Roots and Cube Roots",
type = "MRC Technical Summary",
number = "1088",
institution = "University of Wisconsin, Madison",
year = "1970",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-jr,
}
@Article{Zill:1970:SEI,
author = "D. G. Zill and B. C. Carlson",
title = "Symmetric Elliptic Integrals of the Third Kind",
journal = j-MATH-COMPUT,
volume = "24",
number = "109",
pages = "199--214",
month = jan,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bohan:1971:ADC,
author = "K. A. Bohan and K. V. La{\v{s}}{\v{c}}enov",
title = "The analytic definition of certain elementary
functions. ({Russian}) Questions of modern mathematics
and methods of teaching it at institutions of higher
learning",
journal = "Leningrad. Gos. Ped. Inst. U{\v{c}}en. Zap.",
volume = "404",
pages = "59--78",
year = "1971",
MRclass = "26A09",
MRnumber = "55 \#10612",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Misc{Chen:1971:BAU,
author = "Tien Chi Chen",
title = "Binary arithmetic unit implementing a multiplicative
iteration for the exponential, logarithm, quotient and
square root functions",
howpublished = "United States Patent 3,631,230",
day = "28",
month = dec,
year = "1971",
bibdate = "Tue Jan 08 21:54:11 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.freepatentsonline.com/3631230.html",
abstract = "Apparatus and a method is described for efficiently
achieving arithmetic evaluations for functions such as
exponential, logarithm, quotient, and square root with
a minimum use of multiplications or divisions.
Basically, use is made of the fact that $x(1\pm2^{-m})$
can be evaluated by a shift followed by an add. A pair
of numbers $(x_k, y_k)$ can represent a function $x:
f(x)= g(x_k, y_k)$, such that $g(l,y_n) = y_n$ for
logarithm, quotient and square root. Then,
multiplication by shifting is applied to $x_k$ with
suitable adjustments on $y_k$, until $x_k$ is close to
unity, at which time $y_k$ represents the desired
answer. The exponential is computed by essentially
reversing the logarithm procedure. A termination
algorithm further improves accuracy. The apparatus
involves two registers for $x_k$ and $y_k$, a local
memory, an adder and a shift register.",
acknowledgement = ack-nhfb,
}
@Article{Cody:1971:CAR,
author = "W. J. Cody and K. E. Hillstrom and Henry C. {Thatcher,
Jr.}",
title = "{Chebyshev} approximations for the {Riemann} zeta
function",
journal = j-MATH-COMPUT,
volume = "25",
number = "115",
pages = "537--547",
month = jul,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20",
MRnumber = "47 2785",
bibdate = "Wed Jan 17 08:57:00 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-wjc,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 20-digit approximations for either
$\zeta(s)$ or $\zeta(s) - 1$.",
}
@InCollection{Cody:1971:SEF,
author = "W. J. Cody",
title = "Software for the Elementary Functions",
crossref = "Rice:1971:MS",
pages = "171--186",
year = "1971",
bibdate = "Thu Sep 15 18:56:47 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Glasser:1971:CFE,
author = "M. L. Glasser and V. E. Wood",
title = "A Closed Form Evaluation of the Elliptic Integral",
journal = j-MATH-COMPUT,
volume = "25",
number = "115",
pages = "535--536",
month = jul,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Glasser:1971:EII,
author = "M. L. Glasser",
title = "An Elliptic Integral Identity",
journal = j-MATH-COMPUT,
volume = "25",
number = "115",
pages = "533--534",
month = jul,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Herman:1971:EDH,
author = "G. T. Herman",
title = "The equivalence of different hierarchies of elementary
functions",
journal = "Z. Math. Logik Grundlagen Math.",
volume = "17",
pages = "219--224",
year = "1971",
MRclass = "02.77 (68.00)",
MRnumber = "44 \#6494",
MRreviewer = "D. A. Clarke",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Honey:1971:CCD,
author = "D. W. Honey",
title = "Correspondence: Calculation of a double-length square
root from a double length number using single precision
techniques",
journal = j-COMP-J,
volume = "14",
number = "4",
pages = "443--443",
month = nov,
year = "1971",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:51:58 MDT 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compj1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/140443.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/tiff/443.tif",
acknowledgement = ack-nhfb,
}
@Article{Kuki:1971:FEP,
author = "H. Kuki and J. Ascoly",
title = "{FORTRAN} extended-precision library",
journal = j-IBM-SYS-J,
volume = "10",
number = "1",
pages = "39--61",
year = "1971",
CODEN = "IBMSA7",
ISSN = "0018-8670",
bibdate = "Thu Sep 15 18:51:32 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ibmsysj.bib",
acknowledgement = ack-nj,
xxmonth = "(none)",
}
@InCollection{Kuki:1971:MFS,
author = "H. Kuki",
title = "Mathematical Function Subprograms for Basic System
Libraries{}\emdash Objectives, Constraints, and
Trade-Off",
crossref = "Rice:1971:MS",
pages = "187--199",
year = "1971",
bibdate = "Fri Sep 16 16:27:40 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Liron:1971:ISR,
author = "N. Liron",
title = "Infinite Sums of Roots for a Class of Transcendental
Equations and {Bessel} Functions of Order One-Half",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "769--781",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lucas:1971:AAC,
author = "C. W. {Lucas, Jr.} and C. W. Terrill",
title = "{ACM Algorithm 404}: Complex Gamma Function [{S14}]",
journal = j-CACM,
volume = "14",
number = "1",
pages = "48--49",
month = jan,
year = "1971",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 07:00:03 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm14.html#LucasT71;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4120 (Functional analysis); C7310 (Mathematics
computing)",
corpsource = "Coll. William and Mary, Williamsburg, VA, USA",
keywords = "algorithm; CGAMMA; complex gamma function evaluation;
formula; function evaluation; poles of gamma function;
recursion formula; reflection; Stirling's asymptotic
series; subroutine in ALGOL; subroutines",
oldlabel = "LucasT71",
remark = "Fullerton: Fortran routine with machine-dependent
constants.",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/LucasT71",
}
@Article{Luke:1971:MTBa,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "323--330",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Luke:1971:MTBb,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions, {II}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "789--795",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Majithia:1971:CAN,
author = "J. C. Majithia and R. Kitai",
title = "A Cellular Array for the Nonrestoring Extraction of
Square Roots",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-20",
number = "12",
pages = "1617--1618",
month = dec,
year = "1971",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/T-C.1971.223191",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 06:38:22 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671784",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Matta:1971:UCE,
author = "F. Matta and A. Reichel",
title = "Uniform Computation of the Error Function and Other
Related Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "339--344",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@PhdThesis{Rothmaier:1971:BEF,
author = "B. Rothmaier",
title = "{Die Berechnung der elementaren Funktionen mit
beliebiger Genauigkeit} \toenglish {The Computation of
Elementary Functions with Arbitrary Accuracy}
\endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1971",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Sarkar:1971:EPP,
author = "B. P. Sarkar and E. V. Krishnamurthy",
title = "Economic Pseudodivision Processes for Obtaining Square
Root, Logarithm, and Arctan",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-20",
number = "12",
pages = "1589--1593",
month = dec,
year = "1971",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/T-C.1971.223178",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Thu Sep 01 10:32:36 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
acknowledgement = ack-nj,
fjournal = "IEEE Transactions on Computers",
}
@Article{Scarton:1971:DPF,
author = "Henry A. Scarton",
title = "Double precision {FORTRAN} subroutines to compute both
ordinary and modified {Bessel} functions of the first
kind and of integer order with arbitrary complex
argument: {$J_n(x + j y)$} and {$I_n(x + j y)$}",
journal = j-J-COMPUT-PHYS,
volume = "8",
number = "2",
pages = "295--299",
month = oct,
year = "1971",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(71)90010-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:04 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999171900106",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
}
@Article{Shenton:1971:CFP,
author = "L. R. Shenton and K. O. Bowman",
title = "Continued Fractions for the Psi Function and its
Derivatives",
journal = j-SIAM-J-APPL-MATH,
volume = "20",
number = "4",
pages = "547--554",
month = jun,
year = "1971",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2099856",
acknowledgement = ack-nhfb,
}
@Article{Shipman:1971:HSE,
author = "L. L. Shipman and R. E. Christoffersen",
title = "High Speed Evaluation of {$F_0(x)$}",
journal = j-COMP-PHYS-COMM,
volume = "2",
number = "4",
pages = "201--206",
month = may # "\slash " # jun,
year = "1971",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(71)90053-1",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 10:40:08 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465571900531",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
remark = "Fullerton: $F_0(x) = \int_0^1 \exp(-x u^2) \, du$,
which is simply related to $\erf$ for $x > 0$ and to
Dawson's function for $x < 0$.",
}
@Article{Spellucci:1971:DPA,
author = "P. Spellucci",
title = "Double precision approximations to the elementary
functions using {Jacobi-fractions}",
journal = j-NUM-MATH,
volume = "18",
pages = "127--143",
year = "1971/1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65D20",
MRnumber = "45 \#7938",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Spira:1971:CGF,
author = "Robert Spira",
title = "Calculation of the Gamma Function by {Stirling}'s
Formula",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "317--322",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Sundblad:1971:AFT,
author = "Y. Sundblad",
title = "The {Ackermann} Function. {A} Theoretical,
Computational, and Formula Manipulative Study",
journal = j-BIT,
volume = "11",
number = "1",
pages = "107--119",
month = mar,
year = "1971",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01935330",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:11 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=11&issue=1;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=11&issue=1&spage=107",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Ackermann's function is a recursively
defined function of importance to computer science
theorists.",
}
@InProceedings{Walther:1971:UAE,
author = "J. S. Walther",
title = "A unified algorithm for elementary functions",
crossref = "AFIPS:1971:ACP",
volume = "38",
pages = "379--385",
year = "1971",
bibdate = "Thu Sep 1 10:15:31 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Wills:1971:URR,
author = "John G. Wills",
title = "On the use of recursion relations in the numerical
evaluation of spherical {Bessel} functions and
{Coulomb} functions",
journal = j-J-COMPUT-PHYS,
volume = "8",
number = "1",
pages = "162--166",
month = aug,
year = "1971",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(71)90043-X",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:04 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/002199917190043X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Wong:1971:SEI,
author = "R. Wong and E. Rosenbloom",
title = "Series Expansions of ${W}_{k,m}(z)$ Involving
Parabolic Cylinder Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "783--787",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Bardin:1972:CFE,
author = "C. Bardin and Y. Dandeu and L. Gauthier and J.
Guillermin. T. Lena. J.-M. Pernet and H. H. Wolter and
T. Tamura",
title = "{Coulomb} Functions in Entire $(\eta, \rho)$ Plane",
journal = j-COMP-PHYS-COMM,
volume = "3",
number = "2",
pages = "73--87",
month = mar,
year = "1972",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(72)90057-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Fri Oct 29 21:09:33 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Book{Bark:1972:MTF,
author = "L. S. Bark",
title = "{\cyr Mnogoznachnye tablitsy {\`e}lementarnykh
funktsi{\u{\i}}} ($\operatorname{sin} x$,
$\operatorname{cos} x$, $e^{x}$ {\cyr i} $e^{-x}$).
({Russian}) [Multiplace tables of the elementary
functions ($\operatorname{sin}\ x$,
$\operatorname{cos}\ x$, $e^{x}$ and $e^{-x}$)]",
publisher = "Vy{\v{c}}isl. Centr Akad. Nauk SSSR",
address = "Moscow, USSR",
edition = "Second, unrevised",
pages = "134",
year = "1972",
MRclass = "65A05",
MRnumber = "50 \#6100",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Tables processed and text translated from the English
by L. S. Bark. Library of Mathematical Tables, No. 9.
1972",
acknowledgement = ack-nhfb,
}
@Article{Carlson:1972:ACL,
author = "B. C. Carlson",
title = "An algorithm for computing logarithms and
arctangents",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "543--549",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Iowa State Univ., Ames, IA, USA",
keywords = "acceleration; arctangents; auxiliary; Borchardt's
algorithm; convergence; fast; function approximation;
functions; inverse circular functions; inverse
hyperbolic; iterative algorithm; logarithms; numerical
methods; rational operations; recurrence relation;
square roots",
treatment = "T Theoretical or Mathematical",
}
@Article{Chen:1972:ACE,
author = "Tien Chi Chen",
title = "Automatic Computation of Exponentials, Logarithms,
Ratios and Square Roots",
journal = j-IBM-JRD,
volume = "16",
number = "4",
pages = "380--388",
month = jul,
year = "1972",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
MRclass = "65D20",
MRnumber = "49 \#1738",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.research.ibm.com/journal/rd/164/chen.pdf",
abstract = "It is shown how a relatively simple device can
evaluate exponentials, logarithms, ratios and square
roots for fraction arguments, employing only shifts,
adds, high-speed table lookups, and bit counting. The
scheme is based on the cotransformation of a number
pair $(x, y)$ such that the $F(x, y) = f(x_0)$ is
invariant; when $x$ is driven towards a known value
$x_w$, $y$ is driven towards the result. For an $N$-bit
fraction about $N / 4$ iterations are required, each
involving two or three adds; then a termination
algorithm, based on an add and an abbreviated multiply,
completes the process, for a total cost of about one
conventional multiply time. Convergence, errors and
simulation using APL are discussed.",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "IBM, San Jose, CA, USA",
keywords = "adds; APL; bit counting; convergence;
cotransformation; digital arithmetic; errors;
exponentials; high speed table; iteration; logarithms;
lookups; ratios; shifts; simulation; square roots;
termination algorithm",
reviewer = "F. Gotze",
treatment = "P Practical",
}
@TechReport{Ercegovac:1972:RES,
author = "Milos D. Ercegovac",
title = "Radix 16 Evaluation of Some Elementary Functions",
number = "540",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
pages = "30",
year = "1972",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Frisch:1972:RAR,
author = "Michael J. Frisch",
title = "Remark on ``{Algorithms 352, 385, 392}: Remarks on
Characteristic Values and Associated Solutions of
{Mathieu}'s Differential Equation, Exponential
Integral, and Systems of Hyperbolic {P.D.E.}''",
journal = j-CACM,
volume = "15",
number = "12",
pages = "1074--??",
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:42:24 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Frisch72;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See
\cite{Clemm:1969:ACV,Paciorek:1970:AEI,Smith:1970:ASH}.",
acknowledgement = ack-nhfb,
oldlabel = "Frisch72",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Frisch72",
}
@Article{Fullerton:1972:MIG,
author = "W. Fullerton",
title = "{ACM Algorithm 435}: Modified Incomplete Gamma
Function",
journal = j-CACM,
volume = "15",
number = "11",
pages = "993--995",
month = nov,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Thu Sep 08 09:47:55 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Schoene:1978:RMI}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Fortran subprogram for evaluating $e^{x_1}
\int_{x_1}^{x_2} |y|^{a - 1} e^{-y} \, dy$ for $a$
roughly between $1$ and $2$.",
}
@Article{Hunter:1972:NEC,
author = "D. B. Hunter and T. Regan",
title = "A note on the evaluation of the complementary error
function",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "539--541",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Bradford, UK",
keywords = "complementary error function; complex variable;
evaluation; integration; method of Matta and Reichel;
modification; numerical; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Kim:1972:AEH,
author = "Shoon K. Kim",
title = "The Asymptotic Expansion of a Hypergeometric Function
$_2{F}_2(1, \alpha; \rho_1, \rho_2; z)$",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "963--963",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kolbig:1972:CAC,
author = "K. S. K{\"o}lbig",
title = "Certification of ``{Algorithm 363}: {Complex} error
function''",
journal = j-CACM,
volume = "15",
number = "6",
pages = "465--466",
month = jun,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:55:38 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kolbig72;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Gautschi:1969:ACE}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4120 (Functional analysis); C7310 (Mathematics
computing)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "$\erf(z)$; complex error function; function
evaluation; special functions; subroutines; Voigt
function",
oldlabel = "Kolbig72",
remark = "Fullerton: Corrections and tests of an Algol
procedure.",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kolbig72",
}
@Article{Kolbig:1972:PCL,
author = "K. S. K{\"o}lbig",
title = "Programs for Computing the Logarithm of the Gamma
Function, and the Digamma Function, for Complex
Argument",
journal = j-COMP-PHYS-COMM,
volume = "4",
number = "2",
pages = "221--226",
month = nov,
year = "1972",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(72)90012-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 08:33:42 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Kolbig:1972:RCC,
author = "K. S. K{\"o}lbig",
title = "Remarks on the Computation of {Coulomb}
Wavefunctions",
journal = j-COMP-PHYS-COMM,
volume = "4",
number = "2",
pages = "214--220",
month = nov,
year = "1972",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(72)90011-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 08:35:38 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Kolbig:1972:ZIG,
author = "K. S. Kolbig",
title = "On the Zeros of the Incomplete Gamma Function",
journal = j-MATH-COMPUT,
volume = "26",
number = "119",
pages = "751--755",
month = jul,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "asymptotic formulae; complex w plane; function
approximation; incomplete gamma function; poles and
zeros; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Kuki:1972:AAC,
author = "Hirondo Kuki",
title = "{ACM Algorithm 421}: Complex Gamma Function with Error
Control [{S14}]",
journal = j-CACM,
volume = "15",
number = "4",
pages = "271--272",
month = apr,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
MRclass = "65D20",
MRnumber = "47 1249",
MRreviewer = "L. Fox",
bibdate = "Mon Jan 22 06:56:30 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kuki72a;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4130 (Interpolation and function approximation);
C7310 (Mathematics computing)",
corpsource = "Univ. Chicago, IL, USA",
keywords = "algorithm; complex; complex gamma function; complex
loggamma; error control; FORTRAN; function; function
approximation; loggamma function; programme;
subroutines",
oldlabel = "Kuki72a",
remark = "Fullerton: 100-line FORTRAN routine with double
complex accuracy to $10^{-14}$.",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kuki72a",
}
@Article{Kuki:1972:CGF,
author = "Hirondo Kuki",
title = "Complex Gamma Function with Error Control [{S14}]",
journal = j-CACM,
volume = "15",
number = "4",
pages = "262--267",
month = apr,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
MRclass = "65D20",
MRnumber = "47 1249",
MRreviewer = "L. Fox",
bibdate = "Mon Jan 22 06:56:30 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kuki72a;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4130 (Interpolation and function approximation);
C7310 (Mathematics computing)",
corpsource = "Univ. Chicago, IL, USA",
keywords = "algorithm; complex; complex gamma function; complex
loggamma; error control; FORTRAN; function; function
approximation; loggamma function; programme;
subroutines",
oldlabel = "Kuki72a",
remark = "Fullerton: Description of a FORTRAN routine with some
math details.",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kuki72a",
}
@Book{Lebedev:1972:SFT,
author = "N. N. (Nikolai Nikolaevich) Lebedev",
title = "Special functions and their applications",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xii + 308",
year = "1972",
ISBN = "0-486-60624-4 (paperback)",
ISBN-13 = "978-0-486-60624-8 (paperback)",
LCCN = "QA351 .L3613 1972",
bibdate = "Sat Oct 30 16:25:05 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
note = "Translated to English and edited by Richard A.
Silverman.",
URL = "http://www.loc.gov/catdir/description/dover031/72086228.html",
acknowledgement = ack-nhfb,
remark = "Translation of Spe{\"e}t{\`\i}sial\S{}nye
funk{\"e}t{\`\i}sii i ikh prilozheni{\"e}i{\`\i}a.",
subject = "Functions, Special; Mathematical physics",
}
@Article{Ling:1972:EM,
author = "Chih-Bing Ling and Jung Lin",
title = "On Evaluation of Moments of ${K}_\nu(t)/{I}_\nu(t)$",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "529--537",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Virginia Politech. Inst., Blacksburg, VA, USA",
keywords = "evaluation; K/sub nu/(t)/I/sub; moments; nu/(t);
numerical methods; Watson's method",
treatment = "T Theoretical or Mathematical",
}
@Article{Linz:1972:MCB,
author = "Peter Linz",
title = "A Method for Computing {Bessel} Function Integrals",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "509--513",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. California, Davis, CA, USA",
keywords = "Abel; Bessel function integrals; Fourier integrals;
infinite integrals; integration; numerical computation;
transform",
treatment = "T Theoretical or Mathematical",
}
@Article{Luke:1972:MTB,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions. {III}",
journal = j-MATH-COMPUT,
volume = "26",
number = "117",
pages = "237--240",
month = jan,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Univ. Missouri, Kansas City, KS, USA",
keywords = "Bessel functions; miniaturized tables; numerical
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{MacKinnon:1972:AEH,
author = "Robert F. MacKinnon",
title = "The asymptotic expansions of {Hankel} transforms and
related integrals",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "515--527",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Defence Res. Establ., Pacific, Victoria, BC, Canada",
keywords = "asymptotic expansions; Bessel; functions; Hankel
transforms; integrals; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Majithia:1972:CAE,
author = "J. C. Majithia",
title = "Cellular Array for Extraction of Squares and Square
Roots of Binary Numbers",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-21",
number = "9",
pages = "1023--1024",
month = sep,
year = "1972",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1972.5009084",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 18:58:46 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009084",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@TechReport{Manos:1972:CCA,
author = "Paul Manos and L. Richard Turner",
title = "Constrained {Chebyshev} approximations to some
elementary functions suitable for evaluation with
floating-point arithmetic",
type = "{NASA} Technical Note",
number = "TN D-6698",
institution = "NASA",
address = "Washington, DC, USA",
pages = "iii + 68",
month = mar,
year = "1972",
bibdate = "Mon May 22 11:27:24 2006",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19720010958_1972010958.pdf",
acknowledgement = ack-nhfb,
}
@Article{Marino:1972:NAA,
author = "D. Marino",
title = "New Algorithms for the Approximate Evaluation in
Hardware of Binary Logarithms and Elementary
Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-21",
number = "12",
pages = "1416--1421",
month = dec,
year = "1972",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/T-C.1972.223516",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Thu Sep 08 08:05:51 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Morita:1972:CAG,
author = "Tohru Morita and Tsuyoshi Horiguchi",
title = "Convergence of the arithmetic-geometric mean procedure
for the complex variables and the calculation of the
complete elliptic integrals with complex modulus",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "425--430",
month = oct,
year = "1972",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01402565",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Thu Jan 13 10:01:46 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=425",
abstract = "The convergence of the arithmetic-geometric mean
procedure is checked for complex variables. The
procedure is shown to be useful for the evaluation of
the complete elliptic integrals of the first and second
kinds with complex modulus. It is suggested that the
procedure will be useful also for the numerical
calculation of the elliptic integrals and the Jacobian
elliptic functions with complex modulus in general.",
acknowledgement = ack-nhfb,
}
@Article{Moses:1972:TGT,
author = "Joel Moses",
title = "Toward a General Theory of Special Functions",
journal = j-CACM,
volume = "15",
number = "7",
pages = "550--554",
month = jul,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "34-02 12H05",
MRnumber = "53 3384",
MRreviewer = "K. Okugawa",
bibdate = "Mon Jan 22 07:06:21 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Moses72;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/macsyma.bib",
note = "Twenty-fifth anniversary of the Association for
Computing Machinery.",
acknowledgement = ack-nhfb,
classcodes = "C1100 (Mathematical techniques)",
keywords = "general theory; mathematics; special functions",
oldlabel = "Moses72",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Moses72",
}
@Article{Olver:1972:NBR,
author = "F. W. J. Olver and D. J. Sookne",
title = "Note on Backward Recurrence Algorithms",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "941--947",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Univ. Maryland, College Park, MD, USA",
keywords = "backward recurrence algorithms; Bessel; Bessel
functions; difference equations; functions; recessive
solution; second order linear difference equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Parnes:1972:CZM,
author = "R. Parnes",
title = "Complex zeros of the modified {Bessel} function
{$K_n(Z)$}",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "949--953",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "City Univ., New York, NY, USA",
keywords = "and zeros; Bessel functions; complex zeros;
interpolation; interpolation scheme; iterative;
iterative methods; modified Bessel function; poles",
treatment = "T Theoretical or Mathematical",
}
@Article{Ramamoorthy:1972:SPI,
author = "C. V. Ramamoorthy and James R. Goodman and K. H. Kim",
title = "Some Properties of Iterative Square-Rooting Methods
Using High-Speed Multiplication",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-21",
number = "8",
pages = "837--847",
month = aug,
year = "1972",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1972.5009039",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 18:58:45 MDT 2011",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009039",
acknowledgement = ack-nj # " and " # ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Samet:1972:CDL,
author = "P. A. Samet and D. W. Honey",
title = "Calculation of a Double-Length Square Root from
Double-Length Number using Single Precision
Techniques",
journal = j-COMP-J,
volume = "15",
number = "2",
pages = "116--116",
month = may,
year = "1972",
CODEN = "CMPJA6",
DOI = "http://dx.doi.org/10.1093/comjnl/15.2.116",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:49 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/15/2.toc;
http://www.math.utah.edu/pub/tex/bib/compj1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/",
URL = "http://comjnl.oxfordjournals.org/content/15/2/116.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/116.tif",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Univ. Coll., London, UK",
fjournal = "The Computer Journal",
keywords = "digital arithmetic; double length; precision
techniques; single; square root",
treatment = "T Theoretical or Mathematical",
}
@Article{Strecok:1972:HPE,
author = "A. J. Strecok and J. A. Gregory",
title = "High Precision Evaluation of the Irregular {Coulomb}
Wave Functions",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "955--961 + s1--s10",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "A0365G (Solutions of wave equations: bound state in
quantum theory); B0290F (Interpolation and function
approximation); C4130 (Interpolation and function
approximation)",
corpsource = "Argonne Nat. Lab., IL, USA",
keywords = "function approximation; high precision evaluation;
irregular Coulomb wave functions; numerical methods;
wave functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Turunov:1972:EFD,
author = "M. Turunov",
title = "Elementary functions of a discrete real and complex
argument. ({Russian})",
journal = "Ta{\v{s}}kent. Gos. Univ. Nau{\v{c}}n. Trudy",
volume = "418 Voprosy Mat.",
pages = "263--271, 386",
year = "1972",
MRclass = "30A95",
MRnumber = "50 \#13556",
MRreviewer = "G. Berzsenyi",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Wynn:1972:CAM,
author = "P. Wynn",
title = "Convergence Acceleration by a Method of
Intercalation",
journal = j-COMPUTING,
volume = "9",
number = "4",
pages = "267--273",
year = "1972",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-ec # " and " # ack-nhfb,
affiliation = "Louisiana State Univ., New Orleans, LA, USA",
classification = "B0290Z; C4190",
description = "convergence; series (mathematics)",
keywords = "convergence acceleration; method of intercalation;
series of real terms",
}
@Article{Amos:1973:BIC,
author = "D. E. Amos",
title = "Bounds on Iterated Coerror Functions and Their
Ratios",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "413--427",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Baker:1973:PAS,
author = "P. W. Baker",
title = "Predictive algorithms for some elementary functions in
radix $2$",
journal = j-ELECT-LETTERS,
volume = "9",
pages = "493--494",
year = "1973",
CODEN = "ELLEAK",
ISBN = "0013-5194",
ISBN-13 = "0013-5194",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
MRclass = "68A10",
MRnumber = "57 \#18203",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Besslich:1973:MDS,
author = "P. W. Besslich and S. Raman",
title = "Multiplication, Division and Square Root Extraction
Methods for Electronic Desk Calculators",
journal = "Journal of the Institution of Telecommunication
Engineers (India)",
volume = "19",
number = "4",
month = apr,
year = "1973",
bibdate = "Thu Sep 1 10:16:11 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@Article{Braithwaite:1973:ALP,
author = "W. J. Braithwaite",
title = "Associated {Legendre} Polynomials, Ordinary and
Modified Spherical Harmonics",
journal = j-COMP-PHYS-COMM,
volume = "5",
number = "5",
pages = "390--394",
month = may,
year = "1973",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(73)90065-9",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Fri Oct 29 21:45:41 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Cody:1973:CAP,
author = "W. J. Cody and Anthony J. Strecok and Henry C.
{Thacher, Jr.}",
title = "{Chebyshev} Approximations for the Psi Function",
journal = j-MATH-COMPUT,
volume = "27",
number = "121",
pages = "123--127",
month = jan,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65-06 (68-06)",
MRnumber = "50 6095",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Argonne Nat. Lab., IL, USA",
keywords = "Chebyshev approximation; Chebyshev approximations;
digamma function; psi function",
remark = "Fullerton: Relative errors down to $10^{-20}$",
treatment = "T Theoretical or Mathematical",
}
@Article{Ercegovac:1973:REC,
author = "M. D. Ercegovac",
title = "Radix-16 Evaluation of Certain Elementary Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-22",
number = "6",
pages = "561--566",
month = jun,
year = "1973",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1973.5009107",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Thu Sep 1 10:15:39 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Fettis:1973:CZE,
author = "Henry E. Fettis and James C. Caslin and Kenneth R.
Cramer",
title = "Complex zeros of the error function and of the
complementary error function",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "401--407",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Wright-Patterson Air Force Base, OH, USA",
keywords = "asymptotic formula; complementary error function;
complex zeros; error function; errors; first one
hundred zeros; function evaluation; poles and zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Fettis:1973:SPC,
author = "Henry E. Fettis and James C. Caslin and Kenneth R.
Cramer",
title = "Saddle Points of the Complementary Error Function",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "409--412",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
keywords = "asymptotic; complementary error function; errors;
formula; function evaluation; poles and zeros; saddle
points",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1973:AAE,
author = "Walter Gautschi",
title = "{ACM Algorithm 471}: Exponential Integrals [{S13}]",
journal = j-CACM,
volume = "16",
number = "12",
pages = "761--763",
month = dec,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:43:23 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Gautschi73;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
keywords = "ALGOL; computation; continued fractions; exponential
integrals; integration; recurrence relations;
recursive; subroutine; subroutines",
oldlabel = "Gautschi73",
remark = "Fullerton: Algol-language routine for $E_n(x) =
\int_1^\infty e^{-x t} t^n \, dt, x > 0$.",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gautschi73",
}
@TechReport{Hemker:1973:SDL,
author = "P. W. Hemker and W. Hoffmann and S. P. N. {van Kampen}
and H. L. Oudshoorn and D. T. Winter",
title = "Single- and double-length computation of elementary
functions",
number = "NW 7",
institution = "Mathematical Centre",
address = "Amsterdam",
year = "1973",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/hemker-pieter-w.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Hill:1973:AAN,
author = "G. W. Hill and A. W. Davis",
title = "{ACM Algorithm 442}: Normal Deviate [{S14}]",
journal = j-CACM,
volume = "16",
number = "1",
pages = "51--52",
month = jan,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:49:54 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1973.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#HillD73;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7310 (Mathematics computing)",
corpsource = "CSIRO, Glen Osmond, Australia",
country = "USA",
descriptors = "RVG;",
enum = "7393",
keywords = "ALGOL; normal deviate; normal distribution inverse;
probit; statistics; subroutines; Taylor series
approximation; transform",
language = "English",
oldlabel = "HillD73",
references = "0",
remark = "Fullerton: Short Algol-language procedure with
accuracy to 24 digits.",
treatment = "P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/HillD73",
}
@Article{Hill:1973:AAS,
author = "G. W. Hill",
title = "{ACM Algorithm 465}: {Student}'s $t$ Frequency
[{S14}]",
journal = j-CACM,
volume = "16",
number = "11",
pages = "690--690",
month = nov,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:49:52 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Hill73a;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7310 (Mathematics computing)",
corpsource = "CSIRO, Glen Osmond, SA, Australia",
keywords = "ALGOL; approximation; density function; series;
statistics; student's t statistic; subroutine;
subroutines",
oldlabel = "Hill73a",
remark = "Fullerton: Algol-language routine for $f(t | n) =
\frac{\Gamma(n/2 + 1/2)}{(\pi n)^{1/2} \Gamma(n/2)} (1
+ t^2 / n)^{n/2 + 1/2}$.",
treatment = "P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Hill73a",
}
@Article{Laurenzi:1973:DWF,
author = "Bernard J. Laurenzi",
title = "Derivatives of {Whittaker} Functions ${W}_{k, 1/2}$
and ${M}_{k, 1/2}$ with Respect to Order ${K}$",
journal = j-MATH-COMPUT,
volume = "27",
number = "121",
pages = "129--132",
month = jan,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Levin:1973:DNL,
author = "D. Levin",
title = "Development of non-linear transformations for
improving convergence of sequences",
journal = j-INT-J-COMPUT-MATH,
volume = "3",
number = "1--4",
pages = "371--388",
month = "????",
year = "1973",
CODEN = "IJCMAT",
DOI = "http://dx.doi.org/10.1080/00207167308803075",
ISSN = "0020-7160",
ISSN-L = "0020-7160",
bibdate = "Thu Dec 01 10:27:34 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
ZMnumber = "0274.65004",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Computer Mathematics",
keywords = "convergence acceleration",
}
@Article{Linz:1973:NCI,
author = "Peter Linz and T. E. Kropp",
title = "A note on the computation of integrals involving
products of trigonometric and {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "871--872",
month = oct,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. California, Davies, CA, USA",
keywords = "Bessel functions; computation; integration; numerical;
numerical methods; products; trigonometric",
treatment = "T Theoretical or Mathematical",
}
@Article{Lozier:1973:BCP,
author = "D. W. Lozier and L. C. Maximon and W. L. Sadowski",
title = "A bit comparison program for algorithm testing",
journal = j-COMP-J,
volume = "16",
number = "2",
pages = "111--117",
month = may,
year = "1973",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:52:11 MDT 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/160111.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/111.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/112.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/113.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/114.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/115.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/116.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/117.tif",
acknowledgement = ack-nhfb,
classcodes = "C6150G (Diagnostic, testing, debugging and evaluating
systems)",
corpsource = "Nat. Bur. Stand., Washington, DC, USA",
keywords = "accuracy; algorithm testing; bit comparison program;
computer algorithms; program debugging",
treatment = "P Practical",
}
@Article{McNolty:1973:SPD,
author = "Frank McNolty",
title = "Some probability density functions and their
characteristic functions",
journal = j-MATH-COMPUT,
volume = "27",
number = "123",
pages = "495--504",
month = jul,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics)",
corpsource = "Lockheed Palo Alto Res. Lab., CA, USA",
keywords = "Bessel function; characteristic functions; functions;
hypergeometric function; probability; probability
density functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Rice:1973:EEI,
author = "S. O. Rice",
title = "Efficient Evaluation of Integrals of Analytic
Functions by the Trapezoidal Rule",
journal = j-BELL-SYST-TECH-J,
volume = "52",
number = "5",
pages = "707--722",
month = may # "--" # jun,
year = "1973",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1973/BSTJ.1973.5205.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol52/bstj52-5-707.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Article{Schmid:1973:BLVa,
author = "H. Schmid",
title = "{BCD} logic {V}: {BCD} square root",
journal = j-ELECTRONIC-DESIGN,
volume = "21",
number = "17",
pages = "62--69",
month = aug,
year = "1973",
CODEN = "ELODAW",
ISSN = "0013-4872",
bibdate = "Thu Sep 1 10:16:11 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
keywords = "decimal fixed-point arithmetic",
}
@Article{Sookne:1973:BFC,
author = "D. J. Sookne",
title = "{Bessel} Functions {$I$} and {$J$} of Complex Argument
and Integer Order",
journal = "J. Res. Nat. Bur. Stand.",
volume = "77B",
number = "3--4",
pages = "111--114",
month = jul,
year = "1973",
bibdate = "Sat Oct 30 10:49:13 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: A program is described but not published.",
}
@Article{Sookne:1973:BFR,
author = "D. J. Sookne",
title = "{Bessel} Functions of Real Argument and Integer
Order",
journal = "J. Res. Nat. Bur. Stand.",
volume = "77A",
number = "3--4",
pages = "125--132",
month = jul,
year = "1973",
bibdate = "Sat Oct 30 10:51:18 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Sequences of $I_n(x)$ and $J_n(x)$ are
computed with a FORTRAN routine.",
}
@Article{Sookne:1973:CABa,
author = "D. J. Sookne",
title = "Certification of an Algorithm for {Bessel} Functions
of Real Argument",
journal = "J. Res. Nat. Bur. Stand.",
volume = "77B",
number = "3--4",
pages = "115--124",
month = jul,
year = "1973",
bibdate = "Sat Oct 30 10:55:03 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: An algorithm is shown to lose at most about
3 bits of precision.",
}
@Article{Sookne:1973:CABb,
author = "D. J. Sookne",
title = "Certification of an Algorithm for {Bessel} Functions
of Complex Argument",
journal = "J. Res. Nat. Bur. Stand.",
volume = "77B",
number = "3",
pages = "133--136",
month = jul,
year = "1973",
bibdate = "Sat Oct 30 10:53:39 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The algorithm is shown to lose at most
about 3 bits of precision.",
}
@Article{Vos:1973:RAC,
author = "H. Vos",
title = "Remark on ``{Algorithm 300}: {Coulomb} Wave
Functions''",
journal = j-CACM,
volume = "16",
number = "5",
pages = "308--309",
month = may,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 07:27:34 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Vos73;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Gunn:1967:ACW}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis); C7310 (Mathematics computing)",
corpsource = "Vrije Univ., Amsterdam, Netherlands",
keywords = "Coulomb wave functions; function evaluation;
mathematics; wave functions",
oldlabel = "Vos73",
remark = "Fullerton: Algol-language accuracy monitor for
Algorithm 300, which is generally accurate only to 3
digits.",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Vos73",
}
@Article{Wong:1973:AEL,
author = "R. Wong",
title = "An Asymptotic Expansion of {$W_{k,m}(z)$} with Large
Variable and Parameters",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "429--436",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Wrench:1973:ECT,
author = "John W. Wrench",
title = "Erratum: {Concerning Two Series for the Gamma
Function}",
journal = j-MATH-COMPUT,
volume = "27",
number = "123",
pages = "681--682",
month = jul,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Minor last-digit rounding errors are
reported.",
}
@Article{Wrigge:1973:EII,
author = "H. S. Wrigge",
title = "An Elliptic Integral Identity",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "839--840",
month = oct,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Yohe:1973:IBS,
author = "J. M. Yohe",
title = "Interval Bounds for Square Roots and Cube Roots",
journal = j-COMPUTING,
volume = "11",
number = "1",
pages = "51--57",
month = mar,
year = "1973",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/computing.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-jr # " and " # ack-nhfb,
affiliation = "Univ. Wisconsin, Madison, WI, USA",
classification = "C5230",
description = "digital arithmetic; error analysis",
fjournal = "Computing",
keywords = "binary computers; cube roots; error analysis; interval
bounds; machine representable number; optimal upward
directed rounding; smallest machine representable
interval; square roots",
}
@Article{Acton:1974:RRF,
author = "Forman S. Acton",
title = "Recurrence relations for the {Fresnel} integral
$\int_0^{\infty} \exp(-ct) \, dt / \sqrt{t (1 + t^2)}$
and similar integrals",
journal = j-CACM,
volume = "17",
number = "8",
pages = "480--481",
month = aug,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65D20 (33A70)",
MRnumber = "49 6554",
bibdate = "Mon Jan 22 06:20:27 MST 2001",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Acton74;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "The class of functions defined by
$\int_0^\infty[\exp(- cX)dt/(1+Y)(t^{1/2})^k]$ where
$X$ and $Y$ are either $t$ or $t^2$ and $k$ is $-1$,
$0$, or $1$ can be evaluated by recurrences for all but
small values of the parameter $c$. These recurrences,
given here, are more efficient than the usual
asymptotic series.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "Commun ACM",
keywords = "exponential integral; Fresnel integral; mathematical
techniques; recurrence relations",
oldlabel = "Acton74",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Acton74",
}
@Article{Amos:1974:CMB,
author = "D. E. Amos",
title = "Computation of modified {Bessel} functions and their
ratios",
journal = j-MATH-COMPUT,
volume = "28",
number = "125",
pages = "239--251",
month = jan,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
keywords = "Bessel functions; computation; low order Bessel
functions; modified Bessel functions; monotonicity;
properties; ratios; recursion; relation",
remark = "Fullerton: Ratios $I_{\nu + 1}(x) / I_\nu(x)$ are
considered.",
treatment = "T Theoretical or Mathematical",
}
@Article{Barlow:1974:CCF,
author = "R. H. Barlow",
title = "Convergent Continued Fraction Approximant's to
Generalised Polylogarithms",
journal = j-BIT,
volume = "14",
number = "1",
pages = "112--116",
month = mar,
year = "1974",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933124",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:13 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=14&issue=1;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=14&issue=1&spage=112",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Nielsen's generalization $S_{n, p}(z) =
\frac{(-1)^{n + p - 1}}{(n - 1)! p!} \int_0^1 \ln^{n -
1}(t) \ln^p(1 - zt) / t \, dt$ is evaluated in the
complex plane.",
}
@Article{Barnett:1974:CWF,
author = "A. R. Barnett and D. H. Feng and J. W. Steed and L. J.
B. Goldfarb",
title = "{Coulomb} wave functions for all real $\eta$ and
$\rho$",
journal = j-COMP-PHYS-COMM,
volume = "8",
number = "5",
pages = "377--395",
month = dec,
year = "1974",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(74)90013-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Jul 14 09:47:42 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "This paper may contain the first presentation of
Steed's algorithm for computing continued fractions.",
}
@Article{Blair:1974:RCA,
author = "J. M. Blair",
title = "Rational {Chebyshev} approximations for the modified
{Bessel} functions {$I_0(x)$} and {$I_1(x)$}",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "581--583",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Atomic Energy Canada Ltd., Chalk River, Ont., Canada",
keywords = "Chebyshev approximation; functions; modified Bessel;
nearly best rational approximations; rational Chebyshev
approximations; series (mathematics)",
remark = "Fullerton: With microfiche supplement. Relative errors
down to $10^{-23}$.",
treatment = "T Theoretical or Mathematical",
}
@Article{Bosten:1974:RAI,
author = "Nancy E. Bosten and E. L. Battiste",
title = "Remark on ``{Algorithm 179}: {Incomplete} Beta
Ratio''",
journal = j-CACM,
volume = "17",
number = "3",
pages = "156--157",
month = mar,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:27:36 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#BostenB74;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Ludwig:1963:AIB,Pike:1976:RIB}.",
acknowledgement = ack-nhfb,
bdate = "Mon Jan 22 06:27:36 MST 2001",
citedby = "Fullerton:1980:BEM",
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C7310
(Mathematics computing)",
corpsource = "IMSL, Houston, TX, USA",
keywords = "Algorithm 179; computer aided analysis; function
approximation; incomplete beta ratio; subroutines",
oldlabel = "BostenB74",
remark = "Fullerton: FORTRAN routine with accuracy about
$10^{-6}$. See M. C. Pike (1976) for a Remark.",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/BostenB74",
}
@Article{Brent:1974:AAG,
author = "Richard P. Brent",
title = "{ACM Algorithm 488}: {A} {Gaussian} pseudo-random
number generator [{G5}]",
journal = j-CACM,
volume = "17",
number = "12",
pages = "704--706",
month = dec,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:28:05 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Brent74;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Australian Nat. Univ., Canberra, Australia",
country = "USA",
descriptors = "RVG;",
enum = "7061",
keywords = "distribution; FORTRAN; Gaussian; generator; GRAND;
normal distribution; pseudo random numbers; random
number generation; random numbers; subroutines",
language = "English",
location = "SEL: Wi",
oldlabel = "Brent74",
references = "0",
remark = "Fullerton: A FORTRAN routine that returns normally
distributed numbers with zero mean and unit standard
deviation.",
revision = "16/01/94",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Brent74",
}
@Article{Burrell:1974:AAE,
author = "Keith H. Burrell",
title = "{ACM Algorithm 484}: Evaluation of the Modified
{Bessel} Functions {$K_0(z)$} and {$K_1(z)$} for
Complex Arguments [{S17}]",
journal = j-CACM,
volume = "17",
number = "9",
pages = "524--526",
month = sep,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:28:58 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Burrell74;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis); C7310 (Mathematics computing)",
corpsource = "California Inst. Technol., Pasadena, CA, USA",
keywords = "algorithm; applications of computers; Bessel
functions; complex arguments; function evaluation;
Gauss-Hermite quadrature; Hankel functions; modified
Bessel functions; natural sciences; subroutines",
oldlabel = "Burrell74",
remark = "Fullerton: 10-digit accuracy FORTRAN program.",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Burrell74",
}
@Article{Buschman:1974:FSR,
author = "R. G. Buschman",
title = "Finite sum representations for partial derivatives of
special functions with respect to parameters",
journal = j-MATH-COMPUT,
volume = "28",
number = "127",
pages = "817--824",
month = jul,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Wyoming, Laramie, WY, USA",
keywords = "Bessel functions; differentiation; finite sum
representations; finite sums; functions; G function;
Gegenbauer functions; hypergeometric; Legendre; Mellin
transformation; partial derivatives; special functions;
Whittaker functions",
remark = "Fullerton: Whittaker and Bessel functions are
considered.",
treatment = "T Theoretical or Mathematical",
}
@Article{Carta:1974:HLR,
author = "David G. Carta",
title = "Help!!: {The} Lost Reference: ({A} Modified {Newton}
Method for Square Roots)",
journal = j-SIGNUM,
volume = "9",
number = "4",
pages = "9--9",
month = oct,
year = "1974",
CODEN = "SNEWD6",
DOI = "http://doi.acm.org/10.1145/1206085.1206086",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Tue Jun 17 18:47:00 MDT 2008",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/signum.bib",
abstract = "Around 1970 I saw a journal article describing a
modified Newton iteration for square roots. It involved
changing the usual factor of 0.5 in $x_{n+1} = 0.5 (x_n
+ a / x_n)$ to $c_n$ where $c_n \rightarrow 0.5$,
thereby increasing the asymptotic rate of convergence
from $e_{n+1} = 0.5 e_n^2$ to $e_{n+1} = 0.25 e_n^2$.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGNUM Newsletter",
}
@Article{Fettis:1974:SAC,
author = "Henry E. Fettis",
title = "A stable algorithm for computing the inverse error
function in the `tail-end' region",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "585--587",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Wright-Patterson Air Force Base, OH, USA",
keywords = "function evaluation; inverse error function; iterative
algorithm; stability; stable algorithm; tail end
region",
treatment = "T Theoretical or Mathematical",
}
@Article{Glasser:1974:SDI,
author = "M. L. Glasser",
title = "Some definite integrals of the product of two {Bessel}
functions of the second kind: (order zero)",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "613--615",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Battelle Memorial Inst., Columbus, OH, USA",
keywords = "Bessel functions; definite integrals; evaluate;
function evaluation; integral representation; order;
second kind; zero",
treatment = "T Theoretical or Mathematical",
}
@Article{Koppelaar:1974:CRA,
author = "Henk Koppelaar",
title = "Certification and Remark on ``{Algorithm 191}:
Hypergeometric''",
journal = j-CACM,
volume = "17",
number = "10",
pages = "589--590",
month = oct,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:55:45 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Kopelaar74;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Relph:1963:AH}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7310 (Mathematics computing)",
corpsource = "Utrecht State Univ., Netherlands",
keywords = "algorithm; hypergeometric; improvements; inefficiency;
natural sciences applications of computers;
subroutines",
oldlabel = "Kopelaar74",
remark = "Fullerton: Algol-language modifications for Algorithm
191, which does not appear to be accurate far from the
origin.",
treatment = "G General Review; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kopelaar74",
}
@Article{Kyriakopoulos:1974:GFH,
author = "E. Kyriakopoulos",
title = "Generating functions of the hypergeometric functions",
journal = j-J-MATH-PHYS,
volume = "15",
number = "6",
pages = "753--759",
month = jun,
year = "1974",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.1666724",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:40:13 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v15/i6/p753_s1",
acknowledgement = ack-nhfb,
classification = "A0210 (Algebra, set theory, and graph theory); A0220
(Group theory); A0230 (Function theory, analysis)",
corpsource = "Nuclear Res. Center 'Democritos', Athens, Greece",
keywords = "functions; generating functions; hypergeometric
functions; Lie groups; Lie theory; multiplier
representation theory; Weisner's technique",
onlinedate = "4 November 2003",
pagecount = "7",
treatment = "T Theoretical or Mathematical",
}
@Article{Latham:1974:CPC,
author = "W. P. Latham and Rogers W. Redding",
title = "On the calculation of the parabolic cylinder
functions",
journal = j-J-COMPUT-PHYS,
volume = "16",
number = "1",
pages = "66--75",
month = sep,
year = "1974",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(74)90104-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:15 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999174901041",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{McCabe:1974:CFE,
author = "J. H. McCabe",
title = "A continued fraction expansion, with a truncation
error estimate, for {Dawson}'s integral",
journal = j-MATH-COMPUT,
volume = "28",
number = "127",
pages = "811--816",
month = jul,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Univ. St. Andrews, Fife, UK",
keywords = "continued fraction expansion; convergents; Dawson's
integral; error analysis; function approximation;
rational approximations; truncation error estimate",
treatment = "T Theoretical or Mathematical",
}
@Article{Nasell:1974:IMB,
author = "Ingemar Nasell",
title = "Inequalities for Modified {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "28",
number = "125",
pages = "253--256",
month = jan,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Bell Labs., Holmdel, NJ, USA",
keywords = "Bessel functions; inequalities; modified Bessel
functions; sharp versions",
treatment = "T Theoretical or Mathematical",
}
@Book{Olver:1974:ASF,
author = "F. W. J. Olver",
title = "Asymptotics and Special Functions",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xvi + 572",
year = "1974",
ISBN = "0-12-525850-X",
ISBN-13 = "978-0-12-525850-0",
LCCN = "QA351 .O481 1974",
bibdate = "Wed Dec 15 10:40:06 1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Pisarskii:1974:QCD,
author = "A. V. Pisarski{{\u{\i}}} and A. F. Kurgaev and A. V.
Palagin",
title = "On the question of the convergence of the {``digit by
digit''} methods of computing the elementary
functions",
journal = "Kibernetika (Kiev)",
volume = "4",
pages = "147--149",
year = "1974",
CODEN = "KBRNA5",
ISSN = "0023-1274",
MRclass = "65D20",
MRnumber = "53 \#1915",
MRreviewer = "V. V. Ivanov",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Pomeranz:1974:AAE,
author = "John Pomeranz",
title = "{ACM Algorithm 487}: Exact Cumulative Distribution of
the {Kolmogorov--Smirnov} Statistic for Small Samples",
journal = j-CACM,
volume = "17",
number = "12",
pages = "703--704",
month = dec,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 07:12:56 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Pomeranz74;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Pomeranz:1976:REC}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7310 (Mathematics computing)",
corpsource = "Purdue Univ., West Lafayette, IN, USA",
keywords = "algorithm; exact cumulative distribution; FORTRAN;
Kolmogorov Smirnov test; natural sciences applications
of computers; small samples; statistic; statistics;
subroutines",
oldlabel = "Pomeranz74",
remark = "Fullerton: FORTRAN routine accurate apparently to 5
digits.",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Pomeranz74",
}
@Article{Sheorey:1974:CEW,
author = "V. B. Sheorey",
title = "{Chebyshev} Expansions for Wavefunctions",
journal = j-COMP-PHYS-COMM,
volume = "7",
number = "1",
pages = "1--12",
month = jan,
year = "1974",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(74)90053-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 10:36:29 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Stegun:1974:ACM,
author = "I. A. Stegun and R. Zucker",
title = "Automatic Computing Methods for Special Functions.
{Part II}. {The} Exponential Integral {$E_n(x)$}",
journal = "J. Res. Nat. Bur. Stand.",
volume = "78B",
number = "4",
pages = "199--216",
month = oct,
year = "1974",
bibdate = "Sat Oct 30 11:00:40 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Adjustable double precision FORTRAN
routines for $E_n(x)$ and $e^x E_n(x)$.",
}
@Article{Wang:1974:UEZ,
author = "Paul S. Wang",
title = "The Undecidability of the Existence of Zeros of Real
Elementary Functions",
journal = j-J-ACM,
volume = "21",
number = "4",
pages = "586--589",
month = oct,
year = "1974",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "From Richardson's undecidability results, it is shown
that the predicate ``there exists a real number such
that G(r) equals 0'' is recursively undecidable for
G(x) in a class of functions which involves polynomials
and the sine function. The deduction follows that the
convergence of a class of improper integrals is
recursively undecidable.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "J Assoc Comput Mach",
keywords = "mathematical techniques",
}
@Article{Wimp:1974:CTP,
author = "J. Wimp",
title = "On the computation of {Tricomi}'s {Psi} function",
journal = j-COMPUTING,
volume = "13",
number = "3--4",
pages = "195--203",
year = "1974",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:52 MST 2001",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-nhfb,
affiliation = "Drexel Univ., Philadelphia, PA, USA",
citedby = "Fullerton:1980:BEM",
classification = "723; 921; B0290D; C4120",
description = "convergence of numerical methods; function
evaluation",
journalabr = "Comput (Vienna/NY)",
keywords = "computation; computer programming --- Subroutines;
confluent hypergeometric function; convergence;
mathematical techniques; recurrence relations;
Tricomi's",
remark = "Fullerton: Backward recursion methods are discussed.",
}
@Article{Baker:1975:MER,
author = "P. W. Baker",
title = "More efficient radix-$2$ algorithms for some
elementary functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-24",
number = "11",
pages = "1049--1054",
month = nov,
year = "1975",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/T-C.1975.224132",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
MRclass = "68A10",
MRnumber = "52 \#7193",
MRreviewer = "I. Kaufmann",
bibdate = "Tue Jul 12 07:57:58 MDT 2011",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672725",
acknowledgement = ack-nhfb # "\slash " # ack-nj,
fjournal = "IEEE Transactions on Computers",
}
@Article{Baker:1975:PMA,
author = "P. W. Baker",
title = "Parallel Multiplicative Algorithms for Some Elementary
Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-24",
number = "3",
pages = "322--325",
month = mar,
year = "1975",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/T-C.1975.224215",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 07:57:51 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672808",
abstract = "This correspondence presents generalized higher radix
algorithms for some elementary functions which use fast
parallel $m$-bit multipliers where $\mathrm{radix} =
2^m$. These algorithms are extensions of those
iterative schemes which are based on multiplications by
$(1 + 2^{-i})$ and the use of prestored values of $\ln
(1 + 2^{-i})$ and $\tan^{-1}(2^{-i})$. The particular
functions under consideration are $y/x$, $y/x^{1/2}$,
$y exp (x)$, $y + \ln (x)$, $\sin (x)$ and $\cos (x)$
[and hence $\tan (x)$]. The extended algorithms rely on
multiplication by $(1 + \mathrm{dir}^{-k})$ where
$\mathrm{dir}$, $0 \leq \mathrm{dir}$, is an $m$-bit
integer. Using a simple selection procedure for
$\mathrm{dir}$, simulations show that $p$ (radix $r$)
digits of a function may be generated, on the average,
in less than $p + 1$ iterations.",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Boris:1975:NEO,
author = "Jay P. Boris and Elaine S. Oran",
title = "Numerical evaluation of oscillatory integrals such as
the modified {Bessel} function {$K_{i\zeta}(x)$}",
journal = j-J-COMPUT-PHYS,
volume = "17",
number = "4",
pages = "425--433",
month = apr,
year = "1975",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(75)90045-5",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999175900455",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@TechReport{Brent:1975:MZM,
author = "R. P. (Richard P.) Brent",
title = "Multiple-precision zero-finding methods and the
complexity of elementary function evaluation",
institution = "Department of Computer Science, Carnegie-Mellon
University",
address = "Pittsburgh, PA, USA",
pages = "26",
year = "1975",
bibdate = "Sat Jan 11 10:14:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "Iterative methods (Mathematics)",
searchkey = "ti:elementary n1 function",
}
@Article{Bujnowski:1975:EFC,
author = "G. Rudnicki Bujnowski",
title = "Explicit Formulas for {Clebsch--Gordan} Coefficients",
journal = j-COMP-PHYS-COMM,
volume = "10",
number = "4",
pages = "245--250",
month = oct,
year = "1975",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(75)90069-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 10:13:20 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465575900697",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
remark = "Fullerton: A PL/I-FORMAC procedure is discussed.",
}
@Article{Carta:1975:LOA,
author = "David G. Carta",
title = "Low-Order Approximations for the Normal Probability
Integral and the Error Function",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "856--862",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290R (Integral
equations); C1180 (Optimisation techniques); C4180
(Integral equations)",
corpsource = "Jet Propulsion Lab., California Inst. of Technol.,
Pasadena, CA, USA",
keywords = "error function; fraction; integral equations; linear
minimax problems; linear programming; low; normal
probability integral; order approximations;
polynomials; rational",
treatment = "T Theoretical or Mathematical",
}
@Article{Cody:1975:FPS,
author = "W. J. Cody",
title = "The {FUNPACK} Package of Special Function
Subroutines",
journal = j-TOMS,
volume = "1",
number = "1",
pages = "13--25",
month = mar,
year = "1975",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355626.355631",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Fri Aug 26 23:44:16 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@PhdThesis{Epstein:1975:AET,
author = "Harvey Irwin Epstein",
title = "Algorithms for elementary transcendental function
arithmetic",
school = "University of Wisconsin",
address = "Madison, WI, USA",
pages = "409",
year = "1975",
bibdate = "Sat Jan 11 10:14:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
annote = "Typescript. Vita. Thesis (Ph. D.)--University of
Wisconsin--Madison, 1975.",
keywords = "Algorithms.; Functions -- Data processing.; Functions,
Transcendental.",
searchkey = "ti:elementary n1 function",
}
@Article{Ferguson:1975:PFI,
author = "Helaman Rolfe Pratt Ferguson and Dale E. Nielsen and
Grant Cook",
title = "A partition formula for the integer coefficients of
the theta function nome",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "851--855",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Dept. of Math., Brigham Young Univ., Provo, UT, USA",
keywords = "coefficients; complete elliptic integrals; elliptic
function theory; elliptic integrals; incomplete;
integral equations; partition formula; theta function
nome integer",
remark = "Fullerton: Incomplete elliptic integrals can be
expressed as a series of theta functions.",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Gargantini:1975:PSR,
author = "I. Gargantini",
editor = "K. Nickel",
booktitle = "Interval Mathematics",
title = "Parallel Square Root Iterations",
volume = "29",
publisher = pub-SV,
address = pub-SV:adr,
pages = "196--204",
year = "1975",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Lecture Notes In Computer Science",
acknowledgement = ack-jr,
}
@InProceedings{Gautschi:1975:CMS,
author = "W. Gautschi",
title = "Computational Methods in Special Functions --- {A}
Survey",
crossref = "Askey:1975:TAS",
pages = "1--98",
year = "1975",
bibdate = "Sat Oct 30 07:42:41 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Extensive list of references.",
}
@Article{Ginsberg:1975:AAD,
author = "E. S. Ginsberg and Dorothy Zaborowski",
title = "{ACM Algorithm 490}: The Dilogarithm Function of a
Real Argument [{S22}]",
journal = j-CACM,
volume = "18",
number = "4",
pages = "200--202",
month = apr,
year = "1975",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 06:44:28 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#GinsbergZ75;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Morris:1976:RDF}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis); C7310 (Mathematics computing)",
corpsource = "Dept. of Phys., Univ. of Massachusetts, Boston, MA,
USA",
keywords = "dilogarithm function; electrodynamics; ferromagnets;
function evaluation; function subroutine; ideal;
library; network analysis; polymers; quantum; real
argument; subprograms; subroutines; thermodynamics",
oldlabel = "GinsbergZ75",
remark = "Fullerton: FORTRAN routine accurate to 15 digits for
evaluating $\operatorname{Li}_2(x) = -\int_0^\infty
\frac{\ln(1 z)}{z} \, dz$.",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/GinsbergZ75",
}
@Article{Headley:1975:DZG,
author = "V. B. Headley and V. K. Barwell",
title = "On the distribution of the zeros of generalized {Airy}
functions",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "863--877",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Brock Univ., St. Catherines, Ont.,
Canada",
keywords = "Bessel functions; boundary rays; differential
equations; generalized Airy functions; nonreal zeros;
zeros distribution",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Hitotumatu:1975:SRU,
author = "Sin Hitotumatu",
title = "Some remarks on the unified treatment of elementary
functions by microprogramming",
crossref = "Miller:1975:TNA",
pages = "51--56 (vol. 2)",
year = "1975",
MRclass = "65D15",
MRnumber = "54 \#11733",
MRreviewer = "Luciano Biasini",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Ikebe:1975:ZRC,
author = "Yasuhiko Ikebe",
title = "The Zeros of Regular {Coulomb} Wave Functions and of
Their Derivatives",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "878--887",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Centre Numerical Analysis, Univ. of Texas, Austin, TX,
USA",
keywords = "Bessel function; compact matrix; eigenvalues;
eigenvalues and eigenfunctions; function zeros
characterisation; matrix algebra; methods; numerical;
operators; regular Coulomb wave functions; wave
functions; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Kioustelidis:1975:PLA,
author = "J. B. Kioustelidis and J. K. Petrou",
title = "A Piecewise Linear Approximation of $\log_2 x$ with
Equal Maximum Errors in All Intervals",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-24",
number = "9",
pages = "858--861",
month = sep,
year = "1975",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/T-C.1975.224330",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 07:57:56 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672923",
abstract = "In this paper it is shown how to divide the interval
$[1,2]$ into $n$ parts so that the uniform linear
approximation of $\log_2 x$ in each subinterval has the
same maximum error. This error is, in the case $n = 4$,
smaller by a factor of $2.3$ than the error of the
linear mean-square approximation given by Hall et al.
[1]. The final products of the mathematical analysis
are explicit formulas which allow the direct
determination of all parameters and the maximum error
for any desired number $n$ of subdivisions of
$[1,2]$.",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
keywords = "$\log_2(x)$; elementary function",
}
@Article{Lewis:1975:CPF,
author = "John Gregg Lewis",
title = "Certification of ``{Algorithm} 349: Polygamma
Functions with Arbitrary Precision''",
journal = j-TOMS,
volume = "1",
number = "4",
pages = "380--382",
month = dec,
year = "1975",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Fri Jun 16 10:31:40 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{TadeudeMedeiros:1969:APF}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "polygamma functions; special functions",
}
@Article{Midy:1975:ICG,
author = "P. Midy",
title = "An improved calculation of the general elliptic
integral of the second kind in the neighbourhood of $x
= 0$",
journal = j-NUM-MATH,
volume = "25",
number = "1",
pages = "99--101",
month = mar,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Centre de Calcul Paris Sud Informatique, Univ. Paris
XI, Orsay, France",
keywords = "elliptic integral; integration; Landen transformation;
second kind",
treatment = "T Theoretical or Mathematical",
}
@Article{Ng:1975:CCM,
author = "Edward W. Ng",
title = "A Comparison of Computational Methods and Algorithms
for the Complex Gamma Function",
journal = j-TOMS,
volume = "1",
number = "1",
pages = "56--70",
month = mar,
year = "1975",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355626.355635",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
MRclass = "65D20",
MRnumber = "52 #2148",
bibdate = "Fri Aug 26 23:44:16 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
reviewer = "R. H. Bartels",
}
@Article{Prince:1975:AAF,
author = "P. J. Prince",
title = "{Algorithm 498}: {Airy} Functions Using {Chebyshev}
Series Approximations",
journal = j-TOMS,
volume = "1",
number = "4",
pages = "372--379",
month = dec,
year = "1975",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355656.355663",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sat Aug 27 00:24:33 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See also \cite{Razaz:1981:RAF}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: FORTRAN routines of fixed 10D precision for
the two Airy functions and their derivatives are
given.",
}
@Article{Skovgaard:1975:RAJ,
author = "Ove Skovgaard",
title = "Remark on ``{Algorithm 332}: {Jacobi} Polynomials''",
journal = j-CACM,
volume = "18",
number = "2",
pages = "116--117",
year = "1975",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
bibdate = "Mon Jan 22 07:22:18 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#Skovgaard75;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Witte:1968:AAJ}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
oldlabel = "Skovgaard75",
remark = "Fullerton: Modifications to an adjustable-precision
FORTRAN routine.",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Skovgaard75",
}
@Article{Temme:1975:NEM,
author = "N. M. Temme",
title = "On the Numerical Evaluation of the Modified {Bessel}
Function of the Third Kind",
journal = j-J-COMPUT-PHYS,
volume = "19",
number = "3",
pages = "324--337",
month = nov,
year = "1975",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(75)90082-0",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Oct 30 11:20:31 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
}
@Article{Temme:1975:UAE,
author = "N. M. Temme",
title = "Uniform asymptotic expansions of the incomplete gamma
functions and the incomplete beta function",
journal = j-MATH-COMPUT,
volume = "29",
number = "132",
pages = "1109--1114",
month = oct,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Appl. Math., Amsterdam, Netherlands",
keywords = "asymptotic expansions; asymptotic series;
complementary error function; function approximation;
incomplete beta function; incomplete gamma functions;
uniform",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Warner:1975:PDG,
author = "D. D. Warner",
title = "A partial derivative generator",
type = "Computing Science Technical Report",
number = "28",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
year = "1975",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
Theory/auto.diff.bib",
abstract = "A precompiler is described which takes a specification
of a function as input and produces a Fortran
subroutine which will evaluate the component functions
and the corresponding Jacobian. Many of the Fortran
elementary functions are provided, as well as a
facility which allows the user to specify their own
differentiation rules.",
acknowledgement = ack-nhfb,
keywords = "differentiation arithmetic; precompiler.",
referred = "[Carl86a]; [Hali83a]; [Hill82a]; [Spee80a].",
}
@Article{Assmus:1976:NFS,
author = "E. F. {Assmus, Jr.} and H. F. {Mattson, Jr.} and
Howard E. Sachar",
title = "A New Form of the Square Root Bound",
journal = j-SIAM-J-APPL-MATH,
volume = "30",
number = "2",
pages = "352--354",
month = mar,
year = "1976",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Lehigh Univ., Bethlehem, PA, USA",
fjournal = "SIAM Journal on Applied Mathematics",
keywords = "combinatorial mathematics; linear codes; square root
bound; sufficient combinatorial conditions",
treatment = "T Theoretical or Mathematical",
}
@Article{Baker:1976:SFB,
author = "P. W. Baker",
title = "Suggestion for a fast binary sine\slash cosine
generator",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-25",
number = "11",
pages = "1134--1136",
month = nov,
year = "1976",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1976.1674566",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 06:24:55 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674566",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
keywords = "$\cos(x)$; $\sin(x)$; elementary function",
}
@Article{Barnett:1976:MRC,
author = "A. R. Barnett",
title = "{RCWFF} --- Modification of the Real {Coulomb}
Wavefunction Program {RCWFN}",
journal = j-COMP-PHYS-COMM,
volume = "11",
number = "1",
pages = "141--142",
month = jan # "\slash " # feb,
year = "1976",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(76)90045-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Fri Oct 29 21:24:02 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Blair:1976:RCA,
author = "J. M. Blair and C. A. Edwards and J. H. Johnson",
title = "Rational {Chebyshev} approximations for the inverse of
the error function",
journal = j-MATH-COMPUT,
volume = "30",
number = "136",
pages = "827--830",
month = oct,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Atomic Energy of Canada Ltd., Chalk River Nuclear
Lab., Chalk River, Ont., Canada",
keywords = "Chebyshev approximation; Chebyshev approximations;
error function; inverse; rational",
remark = "Fullerton: With microfiche supplement.",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1976:FMP,
author = "Richard P. Brent",
title = "Fast Multiple-Precision Evaluation of Elementary
Functions",
journal = j-J-ACM,
volume = "23",
number = "2",
pages = "242--251",
month = apr,
year = "1976",
CODEN = "JACOAH",
DOI = "http://doi.acm.org/10.1145/321941.321944",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
MRclass = "68A20 (68A10)",
MRnumber = "52 \#16111",
MRreviewer = "Amnon Barak",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Let $f(x)$ be one of the usual elementary functions
($\exp$, $\log$, $\artan$, $\sin$, $\cosh$, etc.), and
let $M(n)$ be the number of single-precision operations
required to multiply $n$-bit integers. It is shown that
$f(x)$ can be evaluated, with relative error $O(2-n)$,
in $O(M(n)log (n))$ operations as $n \rightarrow
\infty$, for any floating-point number $x$ (with an
$n$-bit fraction) in a suitable finite interval. From
the Sch{\"o}nhage--Strassen bound on $M(n)$, it follows
that an $n$-bit approximation to $f(x)$ may be
evaluated in $O(n \log_(n) \log \log(n))$ operations.
Special cases include the evaluation of constants such
as $\pi$ $e$, and $e^\pi$. The algorithms depend on the
theory of elliptic integrals, using the
arithmetic-geometric mean iteration and ascending
Landen transformations.",
acknowledgement = ack-nhfb,
classification = "723",
journalabr = "J Assoc Comput Mach",
keywords = "computational complexity; computer arithmetic;
computer programming",
}
@InProceedings{Brent:1976:MPZ,
author = "Richard P. Brent",
title = "Multiple-precision zero-finding methods and the
complexity of elementary function evaluation",
crossref = "Traub:1976:ACC",
pages = "151--176",
year = "1976",
MRclass = "68A20",
MRnumber = "54 \#11843",
MRreviewer = "Claus-Peter Schnorr",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Buschman:1976:IHF,
author = "R. G. Buschman",
title = "Inequalities for Hypergeometric Functions",
journal = j-MATH-COMPUT,
volume = "30",
number = "134",
pages = "303--305",
month = apr,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math. and Statistics, Univ. of Guelph,
Guelph, Ont., Canada",
keywords = "Bessel functions; classical orthogonal polynomials;
confluence; dominant diagonal matrix; function;
functions; Gauss' hypergeometric; hypergeometric
functions; Kummer's hypergeometric function; modified
Bessel function; principle",
treatment = "T Theoretical or Mathematical",
}
@Article{Davies:1976:IPS,
author = "M. Davies and B. Dawson",
title = "The incrementation parameter in square root
iteration",
journal = j-J-INST-MATH-APPL,
volume = "17",
number = "2",
pages = "219--223",
year = "1976",
CODEN = "JMTAA8",
ISSN = "0020-2932",
MRclass = "65H05",
MRnumber = "55 #9514",
MRreviewer = "Luciano Biasini",
bibdate = "Fri Apr 5 07:38:01 MST 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
ZMnumber = "0319.65039",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
}
@Article{Deuflhard:1976:ASC,
author = "P. Deuflhard",
title = "On Algorithms for the Summation of Certain Special
Functions",
journal = j-COMPUTING,
volume = "17",
number = "1",
pages = "37--48",
year = "1976",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:52 MST 2001",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-nhfb,
affiliation = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen,
M{\"u}nchen, West Germany",
citedby = "Fullerton:1980:BEM",
classification = "723; 921; B0290B; B0290H; C4110; C4140",
description = "error analysis; linear algebra",
journalabr = "Comput (Vienna/NY)",
keywords = "algorithms; backward error analysis; computer
programming; graph representation; mathematical
techniques; special functions; stability; summation",
remark = "Fullerton: An extension of Clenshaw's summation method
is discussed. Spherical harmonic sums are considered as
a special case.",
}
@Article{Eckhardt:1976:RAW,
author = "Ulrich Eckhardt",
title = "A Rational Approximation to {Weierstrass}'
$\wp$-Function",
journal = j-MATH-COMPUT,
volume = "30",
number = "136",
pages = "818--826",
month = oct,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); C4130
(Interpolation and function approximation)",
corpsource = "Nuclear Res. Center, Central Inst. for Appl. Math.,
Julich, West Germany",
keywords = "equianharmonic; function approximation; rational
approximation; unit period parallelogram; Weierstrass'
elliptic function; Weierstrass' p function",
remark = "Fullerton: A complex FORTRAN algorithm with accuracy
down to $10^{-18}$ is given.",
treatment = "T Theoretical or Mathematical",
}
@Article{Ellacott:1976:RCA,
author = "S. Ellacott and Jack Williams",
title = "Rational {Chebyshev} Approximation in the Complex
Plane",
journal = j-SIAM-J-NUMER-ANAL,
volume = "13",
number = "3",
pages = "310--323",
month = jun,
year = "1976",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{elLozy:1976:RAC,
author = "Mohamed el Lozy",
title = "Remark on {``Algorithm 299: Chi-Squared Integral
[S15]''}",
journal = j-TOMS,
volume = "2",
number = "4",
pages = "393--395",
month = dec,
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sat Jul 05 16:47:38 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Hill:1967:ACS,Hill:1985:RCS}.",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1976:CR,
author = "Henry E. Fettis",
title = "Complex Roots of $\sin z = az, \cos z = az$, and
$\cosh z = az$",
journal = j-MATH-COMPUT,
volume = "30",
number = "135",
pages = "541--545",
month = jul,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
keywords = "complex roots; cos z=az; cosh z=az; functional
equations; sin z=az",
treatment = "T Theoretical or Mathematical",
}
@Article{Fullerton:1976:AEM,
author = "L. W. Fullerton and G. A. {Rinker, Jr.}",
title = "Accurate and Efficient Methods for the Evaluation of
Vacuum-Polarization Potentials of Order {$Z\alpha$} and
{$Z\alpha^2$}",
journal = j-PHYS-REV-A,
volume = "13",
number = "3",
pages = "1283--1287",
month = mar,
year = "1976",
CODEN = "PLRAAN",
ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
bibdate = "Sat Oct 30 06:32:26 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Nine-figure approximations to $K_n(x) =
\int_1^\infty e^{-x t} t^n (1/r^3 + 1/(2 r^5)) (r^2 -
1)^{1/2} \, dt$ for $n = 0, 1, 3$, and $5$.",
}
@Article{Kononova:1976:CEF,
author = "N. F. Kononova",
title = "The computation of elementary functions by means of
polynomial approximations by the method of {V. K.
Dzjadik}. ({Russian})",
journal = "Vy{\v{c}}isl. Prikl. Mat. (Kiev)",
volume = "29",
pages = "27--39",
year = "1976",
ISSN = "0321-4117",
MRclass = "151. 65D15",
MRnumber = "57 \#18026",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Lentz:1976:GBF,
author = "W. G. Lentz",
title = "Generating {Bessel} Functions in {Mie} Scattering
Calculations Using Continued Fractions",
journal = j-APPL-OPTICS,
volume = "15",
number = "3",
pages = "668--671",
month = mar,
year = "1976",
CODEN = "APOPAI",
ISSN = "0003-6935",
bibdate = "Sat Oct 30 08:41:40 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Morris:1976:RDF,
author = "Robert Morris",
title = "Remark on ``{Algorithm 490}: The Dilogarithm Function
of a Real Argument [{S22}]''",
journal = j-TOMS,
volume = "2",
number = "1",
pages = "112--112",
month = mar,
year = "1976",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355666.355680",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Aug 30 00:27:18 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Ginsberg:1975:AAD}.",
acknowledgement = ack-nhfb,
}
@Article{Paul:1976:SEF,
author = "George Paul and M. Wayne Wilson",
title = "Should the Elementary Function Library Be Incorporated
Into Computer Instruction Sets?",
journal = j-TOMS,
volume = "2",
number = "2",
pages = "132--142",
month = jun,
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sat Aug 27 00:30:21 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Pike:1976:RIB,
author = "Malcolm C. Pike and Jennie SooHoo and N. E. Bosten",
title = "Remark on {``Algorithm 179: Incomplete Beta Ratio
[S14]''}",
journal = j-TOMS,
volume = "2",
number = "2",
pages = "207--208",
month = jun,
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sat Jul 05 16:45:39 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See remark \cite{Ludwig:1963:AIB,Bosten:1974:RAI}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Pomeranz:1976:REC,
author = "J. Pomeranz",
title = "Remark on ``{Algorithm 487: Exact Cumulative
Distribution of the Kolmogorov--Smirnov Statistic for
Small Samples [S14]}''",
journal = j-TOMS,
volume = "2",
number = "1",
pages = "111--111",
month = mar,
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Feb 06 05:28:05 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Pomeranz:1974:AAE}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Redding:1976:CPC,
author = "R. W. Redding and W. P. Latham",
title = "On the calculation of the parabolic cylinder
functions. {II}. {The} function {$V(a,x)$}",
journal = j-J-COMPUT-PHYS,
volume = "20",
number = "2",
pages = "256--258",
month = feb,
year = "1976",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(76)90071-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:20 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999176900711",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Salamin:1976:CUA,
author = "Eugene Salamin",
title = "Computation of $\pi$ Using Arithmetic-Geometric Mean",
journal = j-MATH-COMPUT,
volume = "30",
number = "135",
pages = "565--570",
month = jul,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Charles Stark Draper Lab., Cambridge, MA, USA",
keywords = "arithmetic geometric mean; convergence; elliptic
integrals; error analysis; fast Fourier transform
multiplication; function evaluation; Landen's;
Legendre's relation; numerical computation of pi;
transformation",
remark = "Fullerton: A quadratically convergent algorithm.",
treatment = "A Application; T Theoretical or Mathematical",
}
@InCollection{Salimov:1976:OCE,
author = "F. I. Salimov",
booktitle = "Probabilistic methods and cybernetics",
title = "The organization of calculations of elementary
functions into tables. ({Russian})",
volume = "12--13",
publisher = "Kazan University",
address = "Kazan, USSR",
pages = "77--90",
year = "1976",
MRclass = "65A05",
MRnumber = "58 \#31706",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Schett:1976:PTS,
author = "Alois Schett",
title = "Properties of the {Taylor} series expansion
coefficients of the {Jacobian} elliptic functions",
journal = j-MATH-COMPUT,
volume = "30",
number = "133",
pages = "143--147",
month = jan,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "CENS, Gif-sur-Yvette, France",
keywords = "differential equations; Jacobian elliptic functions;
randomisation distributions; series (mathematics);
Taylor series expansion",
remark = "Fullerton: The first several coefficients are
tabulated.",
treatment = "T Theoretical or Mathematical",
}
@Article{Schonfelder:1976:PSF,
author = "J. L. Schonfelder",
title = "The Production of Special Function Routines for a
Multi-Machine Library",
journal = j-SPE,
volume = "6",
number = "1",
pages = "71--82",
month = jan # "\slash " # mar,
year = "1976",
CODEN = "SPEXBL",
ISSN = "0038-0644 (print), 1097-024X (electronic)",
bibdate = "Sat May 31 13:36:16 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The design of transportable routines for
the NAG library is discussed.",
}
@Article{Schulten:1976:REC,
author = "K. Schulten and R. G. Gordon",
title = "Recursive Evaluation of $3j$ and $6j$ Coefficients",
journal = j-COMP-PHYS-COMM,
volume = "11",
number = "2",
pages = "269--278",
month = mar # "\slash " # may,
year = "1976",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(76)90058-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 10:32:44 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Sheorey:1976:DCE,
author = "V. B. Sheorey",
title = "Double {Chebyshev} Expansions for Wave Functions",
journal = j-COMP-PHYS-COMM,
volume = "12",
number = "2",
pages = "125--134",
month = nov,
year = "1976",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(76)90061-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 10:38:43 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465576900618",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Siemieniuch:1976:PCR,
author = "J. L. Siemieniuch",
title = "Properties of certain rational approximations to
$e^{-z}$",
journal = j-BIT,
volume = "16",
number = "2",
pages = "172--191",
month = jun,
year = "1976",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01931369",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:14 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=16&issue=2;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=16&issue=2&spage=172",
acknowledgement = ack-nhfb,
keywords = "elefunt; elementary functions",
}
@Article{Stegun:1976:ACM,
author = "I. A. Stegun and R. Zucker",
title = "Automatic Computing Methods for Special Functions.
{Part III}. {The} Sine, Cosine, Exponential Integrals,
and Related Functions",
journal = "J. Res. Nat. Bur. Stand.",
volume = "80B",
number = "2",
pages = "291--311",
month = apr,
year = "1976",
bibdate = "Sat Oct 30 11:07:19 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Adjustable double precision FORTRAN.
routines for $\operatorname{Si}$, $\operatorname{Ci}$,
$\operatorname{Ei}$, $\operatorname{Shi}$, and
$\operatorname{Chi}$.",
}
@Article{Temme:1976:NEO,
author = "Nico M. Temme",
title = "On the numerical evaluation of the ordinary {Bessel}
function of the second kind",
journal = j-J-COMPUT-PHYS,
volume = "21",
number = "3",
pages = "343--350",
month = jul,
year = "1976",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(76)90032-2",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:21 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999176900322",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Tugov:1976:MCA,
author = "I. I. Tugov and Yu. L. Shitkov",
title = "A Method of Calculating the {Appell} Functions
${F}_a(\alpha; \beta, \beta'; \gamma; x, y)$",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "16",
number = "6",
pages = "1587--1590",
year = "1976",
CODEN = "CMMPA9",
ISSN = "0041-5553, 0502-9902",
bibdate = "Sat Oct 30 11:38:05 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: [English] translation of Russian-language
Zhurnal Vychislitel'noi Matematikii Matemancheskoi
Fiziki (1976).",
}
@Article{Alexander:1977:SRR,
author = "V. L. Alexander",
title = "Square Root Routine",
journal = j-IBM-TDB,
volume = "20",
number = "3",
pages = "1222",
month = aug,
year = "1977",
CODEN = "IBMTAA",
ISSN = "0018-8689",
bibdate = "Thu Sep 1 10:15:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@Article{Amos:1977:ACS,
author = "D. E. Amos and S. L. Daniel and M. K. Weston",
title = "{Algorithm 511}: {CDC} 6600 Subroutines {IBESS} and
{JBESS} for {Bessel} Functions {$I_\nu(x)$} and
{$J_\nu(x)$}, {$x \ge 0, \nu \ge 0$} [{S18}]",
journal = j-TOMS,
volume = "3",
number = "1",
pages = "93--95",
month = mar,
year = "1977",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355719.355727",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Thu Apr 29 15:14:12 1999",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See erratum \cite{Amos:1978:ECS}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Amos:1977:CSI,
author = "D. E. Amos and S. L. Daniel and M. K. Weston",
title = "{CDC} 6600 Subroutines {IBESS} and {JBESS} for
{Bessel} Functions {$I_\nu(x)$} and {$J_\nu(x)$},
{$x\ge0,\nu\ge0$}",
journal = j-TOMS,
volume = "3",
number = "1",
pages = "76--92",
month = mar,
year = "1977",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355719.355726",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
MRclass = "65D20",
MRnumber = "55 #6781",
bibdate = "Tue Sep 06 19:20:02 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
reviewer = "Sven-{\AA}ke Gustafson",
}
@Article{Ardill:1977:BFC,
author = "R. W. B. Ardill and K. J. M. Moriarty",
title = "The {Bessel} Functions {$J_0$} and {$J_1$} of Complex
Argument",
journal = j-COMP-PHYS-COMM,
volume = "13",
number = "1",
pages = "17--24",
month = may,
year = "1977",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(77)90023-6",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Fri Oct 29 21:19:09 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465577900236",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Book{Brezinski:1977:ACA,
author = "Claude Brezinski",
title = "Acc{\'e}l{\'e}ration de la convergence en analyse
num{\'e}rique. ({French}) [{Convergence} acceleration
in numerical analysis]",
publisher = pub-SV,
address = pub-SV:adr,
pages = "313",
year = "1977",
ISBN = "0-387-08241-7, 3-540-08241-7",
ISBN-13 = "978-0-387-08241-7, 978-3-540-08241-5",
LCCN = "????",
bibdate = "Thu Dec 1 10:17:17 MST 2011",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
language = "French",
}
@Article{Carlson:1977:EIF,
author = "B. C. Carlson",
title = "Elliptic Integrals of the First Kind",
journal = j-SIAM-J-MATH-ANA,
volume = "8",
number = "2",
pages = "231--242",
month = "????",
year = "1977",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRnumber = "MR 0430341 (55:3346)",
bibdate = "Fri Oct 29 22:03:28 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Book{Carlson:1977:SFA,
author = "Bille Chandler Carlson",
title = "Special Functions of Applied Mathematics",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xv + 335",
year = "1977",
ISBN = "0-12-160150-1",
ISBN-13 = "978-0-12-160150-8",
LCCN = "QA351 .C32",
bibdate = "Fri Jan 22 10:33:57 MST 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Functions, Special",
}
@Article{Cody:1977:CRF,
author = "W. J. Cody and Rose M. Motley and L. Wayne Fullerton",
title = "The Computation of Real Fractional Order {Bessel}
Functions of the Second Kind",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "232--239",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355744.355747",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Sep 20 18:24:22 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Danilcenko:1977:ETC,
author = "L. S. Danil'{\v{c}}enko",
title = "An efficient technique for the construction of
rational approximations of elementary functions.
({Russian}) Optimization of computations (approximation
and minimization of functions)",
journal = "Akad. Nauk Ukrain. SSR Inst. Kibernet. Preprint",
volume = "18",
pages = "17--21",
year = "1977",
MRclass = "65D15",
MRnumber = "80b:65016",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Dijkstra:1977:CFE,
author = "D. Dijkstra",
title = "A continued fraction expansion for a generalization of
{Dawson}'s integral",
journal = j-MATH-COMPUT,
volume = "31",
number = "138",
pages = "503--510",
month = apr,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4110 (Error analysis in numerical methods); C4120
(Functional analysis); C4160 (Numerical integration and
differentiation)",
corpsource = "Dept. of Math., Tech. Univ. Twente, Enschede,
Netherlands",
keywords = "confluent hypergeometric; continued fraction
expansion; Dawson's; error analysis; function; function
evaluation; generalization; integral; integration;
truncation error",
remark = "Fullerton: An expansion for $F(p, x) = e^{-x^2}
\int_0^x e^{t^2} \, dt$ is given.",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Dzjadyk:1977:TPA,
author = "V. K. Dzjadyk and S. F. Karpenko",
title = "Tables of polynomials for the approximate solution of
elementary functions. ({Russian})",
number = "28",
institution = "Akad. Nauk Ukrain. SSR Inst. Mat. Preprint",
pages = "28",
year = "1977",
MRclass = "65A05 (65D20)",
MRnumber = "58 \#19016",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Dzyadyk:1977:OPM,
author = "V. K. Dzjadyk and Z. V. Zarickaja and S. F. Karpenko
and N. F. Kononova",
title = "{\cyr Ob {\`e}ffektivnom priblizhenii mnogochlenami
{\`e}lementarnykh funktsi{\u{\i}}.} ({Russian})
[Efficient approximation by polynomials of elementary
functions]",
type = "Preprint",
number = "IM-77-21",
institution = "Akad. Nauk Ukrain. SSR Inst. Mat.",
address = "Kiev, USSR",
pages = "42",
year = "1977",
MRclass = "65L99",
MRnumber = "57 \#11075",
MRreviewer = "B. D. Donevski",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Eckhardt:1977:RAW,
author = "Ulrich Eckhardt",
title = "A rational approximation to {Weierstrass}' elliptic
function. {II}. {The} lemniscatic case",
journal = j-COMPUTING,
volume = "18",
number = "4",
pages = "341--349",
year = "1977",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:53 MST 2001",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-nhfb,
affiliation = "Zentralinst. f{\"u}r Angewandte Math., Julich, West
Germany",
citedby = "Fullerton:1980:BEM",
classification = "C4130",
description = "function approximation",
keywords = "elliptic functions; lemniscatic case; rational
approximation; Weierstrass elliptic function",
remark = "Fullerton: Weierstrass' function and its derivative
are approximated in the complex plane to 16 S.",
}
@Article{Egbert:1977:PCAa,
author = "W. E. Egbert",
title = "Personal calculator algorithms. {I}. Square roots",
journal = j-HEWLETT-PACKARD-J,
volume = "28",
number = "9",
pages = "22--23",
month = may,
year = "1977",
CODEN = "HPJOAX",
ISSN = "0018-1153",
bibdate = "Tue Mar 25 14:12:15 MST 1997",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj # " and " # ack-nhfb,
classcodes = "C5420 (Mainframes and minicomputers); C7310
(Mathematics computing)",
keywords = "electronic calculators; HP personal calculator; square
root algorithm",
treatment = "A Application; T Theoretical or Mathematical",
xxpages = "22--24",
}
@InProceedings{Fullerton:1977:PSF,
author = "L. W. Fullerton",
title = "Portable Special Function Routines",
crossref = "Cowell:1977:PMS",
pages = "452--483",
year = "1977",
bibdate = "Sat Oct 30 06:40:00 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Gautschi:1977:ACC,
author = "Walter Gautschi",
title = "Anomalous convergence of a continued fraction for
ratios of {Kummer} functions",
journal = j-MATH-COMPUT,
volume = "31",
number = "140",
pages = "994--999",
month = oct,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1120 (Mathematical analysis); C4170 (Differential
equations)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
keywords = "apparent; Bessel functions; continued fraction;
convergence; differential equations; gamma functions;
Kummer functions; wrong limit",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1977:ERI,
author = "Walter Gautschi",
title = "Evaluation of Repeated Integrals of the Coerror
Function",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "240--252",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355744.355748",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sat Aug 27 22:26:34 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: An arbitrary-accuracy method for evaluating
$i^n \erfc(x)$ is given.",
}
@Article{Harris:1977:CAT,
author = "F. E. Harris",
title = "Convergence acceleration technique for lattice sums
arising in electronic-structure studies of crystalline
solids",
journal = j-J-MATH-PHYS,
volume = "18",
number = "12",
pages = "2377--2381",
month = dec,
year = "1977",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
bibdate = "Fri Jan 2 14:59:17 MST 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A6150L
(Crystal binding)",
corpsource = "Dept. of Chem., Univ. of Hawaii, Honolulu, HI, USA",
keywords = "convergence acceleration; convergence of numerical
methods; crystalline solids; electronic structure;
Laplace transform; Laplace transforms; lattice energy;
lattice sums; Poisson's summation formula",
pubcountry = "USA",
treatment = "T Theoretical or Mathematical",
}
@Book{Higgins:1977:CBP,
author = "John Rowland Higgins",
title = "Completeness and basis properties of sets of special
functions",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "x + 134",
year = "1977",
ISBN = "0-521-21376-2 (hardcover), 0-521-60488-5 (paperback)",
ISBN-13 = "978-0-521-21376-9 (hardcover), 978-0-521-60488-8
(paperback)",
LCCN = "????",
bibdate = "Sat Oct 30 16:52:55 MDT 2010",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Hill:1977:AIB,
author = "G. W. Hill",
title = "{Algorithm 518}: Incomplete {Bessel} Function {$I_0$}.
{The von Mises} Distribution [{S14}]",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "279--284",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355744.355753",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sat Oct 24 15:46:06 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Adjustable-accuracy 50-statement FORTRAN
subprogram.",
}
@Article{Hinden:1977:PAR,
author = "Harvey J. Hinden",
title = "Phi Again: a Relationship Between the Golden Ratio and
the Limit of a Ratio of Modified {Bessel} Functions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "112, 152",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hinden-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
}
@Article{Ismail:1977:IRC,
author = "Mourad E. H. Ismail",
title = "Integral representations and complete monotonicity of
various quotients of {Bessel} functions",
journal = j-CAN-J-MATH,
volume = "29",
number = "??",
pages = "1198--1207",
month = "????",
year = "1977",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-1977-119-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:50 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v29/;
http://www.math.utah.edu/pub/tex/bib/canjmath1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
}
@Article{Jansen:1977:RLF,
author = "J. K. M. Jansen",
title = "Remark on ``{Algorithm 259: Legendre Functions for
Arguments Larger than One}''",
journal = j-TOMS,
volume = "3",
number = "2",
pages = "204--250",
month = jun,
year = "1977",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Feb 06 05:28:08 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Gautschi:1965:ALF}.",
acknowledgement = ack-nhfb,
}
@Book{Luke:1977:ACM,
author = "Yudell L. Luke",
title = "Algorithms for the Computation of Mathematical
Functions",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 284",
year = "1977",
ISBN = "0-12-459940-0",
ISBN-13 = "978-0-12-459940-6",
LCCN = "QA351 .L7961",
bibdate = "Wed Dec 15 10:38:19 1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
wrongisbn = "0-12-459940-6",
}
@Article{Marsaglia:1977:SMG,
author = "George Marsaglia",
title = "The squeeze method for generating gamma variates",
journal = j-COMP-MATH-APPL,
volume = "3",
number = "4",
pages = "321--325",
year = "1977",
CODEN = "CMAPDK",
DOI = "http://dx.doi.org/10.1016/0898-1221(77)90089-X",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65C10",
MRnumber = "58 \#13613",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
MathSciNet database",
ZMnumber = "0384.65005",
abstract = "This paper describes an exact method for computer
generation of random variables with a gamma
distribution. The method is based on the
Wilson--Hilferty transformation and an improvement on
the rejection technique. The idea is to ``squeeze'' a
target density between two functions, the top one easy
to sample from, the bottom one easy to evaluate.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
ZMclass = "*65C10 Random number generation 60E05 General theory
of probability distributions",
}
@Article{Martins:1977:DSB,
author = "Pedro de A. P. Martins",
title = "Determination of spherical {Bessel}'s functions of an
order larger than the argument",
journal = j-J-COMPUT-PHYS,
volume = "25",
number = "2",
pages = "194--198",
month = oct,
year = "1977",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(77)90021-3",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:26 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999177900213",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{McCarthy:1977:OAE,
author = "D. P. McCarthy",
title = "The optimal algorithm to evaluate $x^n$ using
elementary multiplication methods",
journal = j-MATH-COMPUT,
volume = "31",
number = "137",
pages = "251--256",
month = jan,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis); C4240 (Programming and
algorithm theory)",
keywords = "computational complexity; function evaluation; optimal
multiplication chains; symbolic algebraic
manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Ng:1977:CAL,
author = "E. W. Ng",
title = "Computations and Applications of Linear Hypergeometric
Transformations",
journal = j-COMP-MATH-APPL,
volume = "3",
number = "1",
pages = "65--70",
year = "1977",
CODEN = "CMAPDK",
DOI = "http://dx.doi.org/10.1016/0898-1221(77)90115-8",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Sat Oct 30 09:27:55 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Linear transformations are well-known in the theory of
hypergeometric functions. In this note, it is
indicated, both by analyses and by supporting numerical
experiments, how these transformations can be applied
to the computation of Legendre's functions, the
incomplete Beta function, and the variance-ratio
probability distribution function. It is shown that a
simple transformation can in many cases cause dramatic
improvement in computation.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Pexton:1977:RTTa,
author = "Robert L. Pexton and Arno D. Steiger",
title = "Roots of two transcendental equations involving
spherical {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "31",
number = "139",
pages = "752--753",
month = jul,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
corpsource = "Univ. of California, Livermore, CA, USA",
keywords = "Bessel functions; root; spherical Bessel functions;
transcendental equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Schett:1977:RFT,
author = "Alois Schett",
title = "Recurrence formula of the {Taylor} series expansion
coefficients of the {Jacobian} elliptic functions",
journal = j-MATH-COMPUT,
volume = "31",
number = "140",
pages = "1003--1005",
month = oct,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1110 (Algebra)",
corpsource = "CENS, Gif-sur-Yvette, France",
keywords = "elliptic functions; functions; Jacobian elliptic;
peak; recurrence formula; run up; Taylor series
expansion coefficients",
treatment = "T Theoretical or Mathematical",
}
@Article{Schindler:1977:CCS,
author = "Susan Schindler and R. Mirman",
title = "The {Clebsch--Gordan} coefficients of {$S_n$}",
journal = j-J-MATH-PHYS,
volume = "18",
number = "8",
pages = "1697--1704",
month = aug,
year = "1977",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.523470",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
bibdate = "Fri Jan 2 14:59:17 MST 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Ordering schemes for the frames and tableaux of $S_n$
are presented, and some results, expressible in terms
of these, are developed. A formula is derived for the
sign function on tableaux. A table of the nonzero
Clebsch--Gordon coefficients for the ''working
triplets'' is given. Methods are described, and a
needed table supplied, for finding the other
coefficients from the tabulated ones. The values are
for $n = 2, \ldots{}, 6$, with the coefficients for $n
= 6$ relegated to PAPS.",
acknowledgement = ack-nhfb,
classification = "A0365F (Algebraic methods in quantum theory); A1130L
(Other internal and higher symmetries in particle
physics)",
corpsource = "Baruch Coll., City Univ. of New York, NY, USA",
keywords = "$S_n$ group; Clebsch Gordan coefficients;
Clebsch--Gordan coefficients; working triplets",
pubcountry = "USA",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Schonfelder:1977:PTS,
author = "J. L. Schonfelder",
title = "The Production and Testing of Special Function
Software in the {NAG} Library",
crossref = "Cowell:1977:PMS",
pages = "425--451",
year = "1977",
bibdate = "Sat Oct 30 10:24:29 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Sharma:1977:GMA,
author = "R. R. Sharma and Bahman Zohuri",
title = "A general method for an accurate evaluation of
exponential integrals {$E_1(x), x > 0$}",
journal = j-J-COMPUT-PHYS,
volume = "25",
number = "2",
pages = "199--204",
month = oct,
year = "1977",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(77)90022-5",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:26 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999177900225",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Verma:1977:CSF,
author = "Arun Verma",
title = "Certain summation formulae for basic hypergeometric
series",
journal = j-CAN-MATH-BULL,
volume = "20",
number = "??",
pages = "369--376",
month = "????",
year = "1977",
CODEN = "CMBUA3",
DOI = "http://dx.doi.org/10.4153/CMB-1977-055-8",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:41 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v20/;
http://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
}
@Article{Amos:1978:ECS,
author = "Donald E. Amos",
title = "Erratum: ``{Algorithm 511}: {CDC} 6600 Subroutines
{IBESS} and {JBESS} for {Bessel} Functions {$I_\nu(x)$}
and {$J_\nu(x)$}, {$x\ge0,\nu\ge0$} [{S18}]''",
journal = j-TOMS,
volume = "4",
number = "4",
pages = "411--411",
month = dec,
year = "1978",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/356502.356501",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Aug 30 00:28:02 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Amos:1977:ACS}.",
acknowledgement = ack-nhfb,
}
@Article{Andrews:1978:EFM,
author = "M. Andrews and S. F. McCormick and G. D. Taylor",
title = "Evaluation of Functions on Microcomputers: Square
Root",
journal = j-COMP-MATH-APPL,
volume = "4",
number = "4",
pages = "359--367",
year = "1978",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Thu Sep 15 18:40:29 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
xxmonth = "(none)",
}
@Article{Andrews:1978:UEF,
author = "M. Andrews and T. Mraz",
title = "Unified elementary function generator",
journal = j-MICROPROC-MICROSYS,
volume = "2",
number = "5",
pages = "270--273",
month = oct,
year = "1978",
CODEN = "MIMID5",
ISSN = "0141-9331 (print), 1872-9436 (electronic)",
bibdate = "Thu Sep 1 10:15:39 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Ardill:1978:SBF,
author = "R. W. B. Ardill and K. J. M. Moriarty",
title = "Spherical {Bessel} functions $j_n$ and $y_n$ of
integer order and real argument",
journal = j-COMP-PHYS-COMM,
volume = "14",
number = "3--4",
pages = "261--265",
month = may # "\slash " # jun,
year = "1978",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(78)90019-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Thu Apr 24 10:35:27 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/001046557890019X",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Benton:1978:CZT,
author = "T. C. Benton and H. D. Knoble",
title = "Common Zeros of Two {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "533--535",
month = apr,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
corpsource = "Pennsylvania State Univ., University Park, PA, USA",
keywords = "Bessel functions; common zeros; poles and zeros;
positive zeros; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Blair:1978:RCA,
author = "J. M. Blair and C. A. Edwards and J. H. Johnson",
title = "Rational {Chebyshev} approximations for the {Bickley}
functions {$Ki_n(x)$}",
journal = j-MATH-COMPUT,
volume = "32",
number = "143",
pages = "876--886",
month = jul,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Atomic Energy of Canada Ltd., Chalk River, Ont.,
Canada",
keywords = "approximation; Bessel functions; Bickley functions;
Chebyshev approximation; Chebyshev approximations;
function; recurrence; relation",
remark = "Fullerton: Approximations accurate to 23 digits of
repeated integrals of the Bessel function $K_0(x)$ for
$n = 1, 2, \ldots{}, 10$.",
treatment = "T Theoretical or Mathematical",
}
@Book{Brezinski:1978:AAC,
author = "Claude Brezinski",
title = "Algorithmes d'acc{\'e}l{\'e}ration de la convergence:
{\'e}tude num{\'e}rique. ({French}) [Algorithms for
convergence acceleration: numerical study]",
publisher = "{\'E}ditions Technip",
address = "Paris, France",
pages = "xi + 392",
year = "1978",
ISBN = "2-7108-0341-0 (paperback)",
ISBN-13 = "978-2-7108-0341-6 (paperback)",
LCCN = "????",
bibdate = "Thu Dec 1 10:20:23 MST 2011",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Brezinski:1978:CAS,
author = "C. Brezinski",
title = "Convergence acceleration of some sequences by the
$\epsilon$-algorithm",
journal = j-NUM-MATH,
volume = "29",
number = "2",
pages = "173--177",
month = jan,
year = "1978",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "UER d'IEEA-Informatique, Univ. de Lille I, Villeneuve
d'Ascq, France",
fjournal = "Numerische Mathematik",
keywords = "acceleration; converge; convergence acceleration;
convergence of numerical methods; epsilon-algorithm;
sequences",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1978:SCA,
author = "C. Brezinski",
title = "Survey on convergence acceleration methods in
numerical analysis",
journal = "Math. Student",
volume = "46",
number = "1",
pages = "28--41 (1979)",
year = "1978",
CODEN = "MTHSBH",
ISSN = "0025-5742",
MRclass = "65B99",
MRnumber = "698176 (84d:65003)",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Student",
keywords = "convergence acceleration",
}
@Article{Chin:1978:DAD,
author = "R. C. Y. Chin and G. W. Hedstrom",
title = "A dispersion analysis for difference schemes: tables
of generalized {Airy} functions",
journal = j-MATH-COMPUT,
volume = "32",
number = "144",
pages = "1163--1170",
month = oct,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4170 (Differential equations)",
corpsource = "Univ. of California, Lawrence Livermore Lab.,
Livermore, CA, USA",
keywords = "artificial viscosity; difference schemes; dispersion
analysis; function approximation; functions;
generalized Airy; linear hyperbolic equation",
treatment = "T Theoretical or Mathematical",
}
@Article{DiDonato:1978:AR,
author = "A. R. DiDonato",
title = "An Approximation for $\int^\infty_x e^{-t^2/2} t^p dt,
x > 0, p$ Real",
journal = j-MATH-COMPUT,
volume = "32",
number = "141",
pages = "271--275",
month = jan,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Naval Surface Weapons Center, Dahlgren, VA, USA",
keywords = "integral approximation; integration; numerical
analysis",
remark = "Fullerton: Closely related to the complementary
incomplete gamma function.",
treatment = "A Application; N New Development; T Theoretical or
Mathematical",
}
@Article{Drezner:1978:CBN,
author = "Z. Drezner",
title = "Computation of the Bivariate Normal Integral",
journal = j-MATH-COMPUT,
volume = "32",
number = "141",
pages = "277--279",
month = jan,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Faculty of Business, McMaster Univ., Hamilton, Ont.,
Canada",
keywords = "bivariate normal integral; computation; Gauss
quadrature method; integration; numerical analysis",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Dzjadyk:1978:CRP,
author = "V. K. Dzjadyk and L. \=I. F{\'\i}lozof",
title = "The convergence rate of {Pad{\'e}} approximants for
some elementary functions. ({Russian})",
journal = "Mat. Sb. (N.S.)",
volume = "107(149)",
number = "3",
pages = "347--363, 463",
year = "1978",
ISSN = "0368-8666",
MRclass = "41A21 (30E10 41A25)",
MRnumber = "81b:41043",
MRreviewer = "B. D. Donevski",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Ercegovac:1978:LSR,
author = "Milo{\v{s}} D. Ercegovac",
title = "An On-Line Square Rooting Algorithm",
crossref = "IEEE:1978:PSC",
pages = "183--189",
year = "1978",
bibdate = "Thu Nov 15 10:49:40 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith4/papers/ARITH4_Ercegovac.pdf",
abstract = "An on-line algorithm for computing square roots in a
radix 2, normalized floating-point number system with
the redundant digit set $\{-1, 0, 1\}$ is described.
The algorithm has on-line delay of one and it is
amenable for modular implementation. A systematic
approach, used in deriving this algorithm, is presented
in detail.",
acknowledgement = ack-nhfb,
keywords = "ARITH-4",
}
@Book{Feinsilver:1978:SFP,
author = "Philip J. (Philip Joel) Feinsilver",
title = "Special functions, probability semigroups, and
{Hamiltonian} flows",
volume = "696",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 112",
year = "1978",
ISBN = "0-387-09100-9",
ISBN-13 = "978-0-387-09100-6",
LCCN = "QA3 .L28 no. 696; QA273",
bibdate = "Sat Oct 30 19:22:05 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Lecture notes in mathematics",
acknowledgement = ack-nhfb,
subject = "probabilities; semigroups; functions, special;
Hamiltonian systems",
}
@InProceedings{Frankowski:1978:RME,
author = "Krzysztof S. Frankowski",
title = "A Realistic Model for Error Estimates in the
Evaluation of Elementary Functions",
crossref = "IEEE:1978:PSC",
pages = "70--74",
year = "1978",
MRclass = "65G05 (65D20)",
MRnumber = "80g:65050",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1978:CMB,
author = "Walter Gautschi and Josef Slavik",
title = "On the computation of modified {Bessel} function
ratios",
journal = j-MATH-COMPUT,
volume = "32",
number = "143",
pages = "865--875",
month = jul,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1120 (Mathematical analysis); C4130 (Interpolation
and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
keywords = "Bessel; Bessel functions; continued fraction;
fraction; function approximation; functions; Gauss'
continued; modified Bessel function ratios; Perron's
continued fraction",
treatment = "T Theoretical or Mathematical",
}
@Article{Gustafson:1978:ATC,
author = "S.-\AA. Gustafson",
title = "Algorithm $38$. {Two} computer codes for convergence
acceleration",
journal = j-COMPUTING,
volume = "21",
number = "1",
pages = "87--91",
year = "1978",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65B10",
MRnumber = "83a:65005",
bibdate = "Tue Jan 2 17:40:53 MST 2001",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
INSPEC Axiom database (1968--date); MathSciNet
database",
acknowledgement = ack-nhfb,
affiliation = "Australian Nat. Univ., Canberra, ACT, Australia",
classification = "723; C4140",
description = "convergence of numerical methods",
journalabr = "Computing (Vienna/New York)",
keywords = "codes, symbolic; convergence acceleration; power
series sum",
}
@Article{Gustafson:1978:CAG,
author = "S.-\AA. Gustafson",
title = "Convergence acceleration on a general class of power
series",
journal = j-COMPUTING,
volume = "21",
number = "1",
pages = "53--69",
year = "1978",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65B10 (40A05)",
MRnumber = "83m:65005",
MRreviewer = "A. M. Cohen",
bibdate = "Tue Jan 2 17:40:53 MST 2001",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
INSPEC Axiom database (1968--date); MathSciNet
database",
acknowledgement = ack-nhfb,
affiliation = "Australian Nat. Univ., Canberra, ACT, Australia",
classification = "C4120",
description = "convergence of numerical methods; function
evaluation",
keywords = "algorithms; convergence acceleration; power series",
}
@InProceedings{Hull:1978:DFP,
author = "T. E. Hull",
title = "Desirable Floating-Point Arithmetic and Elementary
Functions for Numerical Computation",
crossref = "IEEE:1978:PSC",
pages = "63--69",
year = "1978",
bibdate = "Thu Sep 01 12:14:34 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Morita:1978:CCE,
author = "T. Morita",
title = "Calculation of the complete elliptic integrals with
complex modulus",
journal = j-NUM-MATH,
volume = "29",
number = "2",
pages = "233--236",
month = jan,
year = "1978",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Dept. of Appl. Sci., Faculty of Engng., Tohoku Univ.,
Sendai, Japan",
keywords = "complete elliptic integrals; complex modulus;
integration",
remark = "Fullerton: Addendum to a paper by Morita and
Horiguchi.",
treatment = "T Theoretical or Mathematical",
}
@Article{Pexton:1978:RTT,
author = "Robert L. Pexton and Arno D. Steiger",
title = "Roots of two transcendental equations as functions of
a continuous real parameter",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "511--518",
month = apr,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
corpsource = "Lawrence Livermore Lab., Univ. of California,
Livermore, CA, USA",
keywords = "continuous real parameter; equations; roots; spherical
Bessel functions; transcendental equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Preston:1978:NAT,
author = "F. S. Preston",
title = "A New Algorithm for the Tangent",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-27",
number = "2",
pages = "167--167",
month = feb,
year = "1978",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1978.1675052",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Mon Jul 11 08:13:26 MDT 2011",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675052",
abstract = "A new mathematical algorithm has been developed for
the tangent. The form of the equation guarantees that
the error is zero at $0^\circ$, $45^\circ$, and
$90^\circ$ corresponding to tangents of $0$, $1$, and
infinity. With only one constant the error is brought
to zero at two more points and the maximum error is
less than one part in $3000$. By adding a second
constant, the error is reduced to less than one in
$720\,000$. Further terms improve the accuracy
geometrically.",
acknowledgement = ack-nj # "\slash " # ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Schindler:1978:GCG,
author = "Susan Schindler and R. Mirman",
title = "Generation of the {Clebsch-Gordan} coefficients for
{$S_n$}",
journal = j-COMP-PHYS-COMM,
volume = "15",
number = "1--2",
pages = "131--145",
month = sep,
year = "1978",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(78)90087-5",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sun Oct 31 09:20:58 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computer Physics Communications",
}
@Article{Schmidt:1978:EI,
author = "Paul W. Schmidt",
title = "Evaluation of the Integral $\int^\infty_0
\frac{t^{2\alpha-1} J_\nu(x\sqrt{1 + t^2})}{(1 +
t^2)^{\alpha+\beta-1}} dt$",
journal = j-MATH-COMPUT,
volume = "32",
number = "141",
pages = "265--269",
month = jan,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Phys. Dept., Univ. of Missouri, Columbia, MO, USA",
keywords = "cylinder diameter distribution; first kind Bessel
function; integral evaluation; integration; long
circular; neutron scattering data; numerical analysis;
power series expansions; recurrence; relations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Schoene:1978:RMI,
author = "Andrew Y. Schoene",
title = "Remark on ``{Algorithm 435}: Modified Incomplete Gamma
Function [{S14}]''",
journal = j-TOMS,
volume = "4",
number = "3",
pages = "296--304",
month = sep,
year = "1978",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355791.355803",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Aug 30 00:28:02 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Fullerton:1972:MIG}.",
acknowledgement = ack-nhfb,
}
@Article{Schonfelder:1978:CEE,
author = "J. L. Schonfelder",
title = "{Chebyshev} expansions for the error and related
functions",
journal = j-MATH-COMPUT,
volume = "32",
number = "144",
pages = "1232--1240",
month = oct,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Computer Centre, Univ. of Birmingham, Birmingham, UK",
keywords = "approximations; Chebyshev approximation; Chebyshev
expansions; error analysis; error function; mappings;
NAG library",
remark = "Fullerton: Approximations for $\erf(x)$, $\erfc(x)$,
and probability functions $P(x)$, $Q(x)$ with accuracy
down to $10^{-30}$.",
treatment = "T Theoretical or Mathematical",
}
@Article{Skovgaard:1978:RCE,
author = "Ove Skovgaard",
title = "Remark on ``{Algorithm 149: Complete Elliptic Integral
[S21]}''",
journal = j-TOMS,
volume = "4",
number = "1",
pages = "95--95",
month = mar,
year = "1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Feb 06 05:28:13 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Merner:1962:AAC}.",
acknowledgement = ack-nhfb,
}
@Article{Slepian:1978:PSW,
author = "D. Slepian",
title = "Prolate Spheroidal Wave Functions, {Fourier} Analysis,
and Uncertainty --- {V}: The Discrete Case",
journal = j-BELL-SYST-TECH-J,
volume = "57",
number = "5",
pages = "1371--1430",
month = may # "--" # jun,
year = "1978",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:56 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1978/BSTJ.1978.5705.html;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol57/bstj57-5-1371.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
}
@Article{Temme:1978:UAE,
author = "N. M. Temme",
title = "Uniform asymptotic expansions of confluent
hypergeometric functions",
journal = j-J-INST-MATH-APPL,
volume = "22",
number = "2",
pages = "215--223",
year = "1978",
CODEN = "JMTAA8",
ISSN = "0020-2932",
MRclass = "33A30",
MRnumber = "80a:33004",
MRreviewer = "F. W. J. Olver",
bibdate = "Fri Apr 5 05:48:27 MST 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
}
@Article{Alt:1979:SRD,
author = "H. Alt",
title = "Square Rooting Is as Difficult as Multiplication",
journal = j-COMPUTING,
volume = "21",
number = "3",
pages = "221--232",
month = sep,
year = "1979",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "68C25",
MRnumber = "82m:68081",
bibdate = "Tue Jan 2 17:40:54 MST 2001",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
INSPEC Axiom database (1968--date); MathSciNet
database",
acknowledgement = ack-nj # " and " # ack-nhfb,
affiliation = "Math. \& Information, Univ. of Saarlandes,
Saarbrucken, West Germany",
classification = "723; C5230",
description = "digital arithmetic",
fjournal = "Computing",
journalabr = "Computing (Vienna/New York)",
keywords = "algorithm; computer programming; square rooting",
}
@Article{Ardill:1979:ABF,
author = "R. W. B. Ardill and K. J. M. Moriarty",
title = "Accurate {Bessel} functions {$J_n(z)$}, {$Y_n(z)$},
{$H_n^{(1)}(z)$} and {$H_n^{(2)}(z)$} of integer order
and complex argument",
journal = j-COMP-PHYS-COMM,
volume = "17",
number = "3",
pages = "321--336",
month = jun,
year = "1979",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(79)90060-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Thu Apr 24 10:35:27 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Description of a program with accuracy
about $10^{-10}$.",
}
@Article{Atkins:1979:FSC,
author = "D. E. Atkins",
title = "{Fourth Symposium on Computer Arithmetic}: crunching
with quality and {LSI}",
journal = j-COMPUTER,
volume = "12",
number = "4",
pages = "94--97",
month = apr,
year = "1979",
CODEN = "CPTRB4",
ISSN = "0018-9162 (print), 1558-0814 (electronic)",
bibdate = "Thu Dec 12 07:20:54 MST 1996",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Computer arithmetic problems --- faster computation
rates and more efficient representations of real
numbers --- are considered in the paper. Floating-point
arithmetic standardization, novel implementation of
basic arithmetic operators, evaluation of elementary
functions --- these are the main considerations of the
conference review.",
acknowledgement = ack-nhfb,
classification = "722; 723",
journalabr = "Computer",
keywords = "computer arithmetic; computer systems, digital; data
processing --- data description; mathematical
techniques --- digital arithmetic",
}
@Article{Babb:1979:OEC,
author = "Stanley E. {Babb, Jr.} and James W. Cafky",
title = "Operational evaluation of certain infinite {Bessel}
function integrals",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1033--1039",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "44A99",
MRnumber = "80e:44002",
MRreviewer = "L. Arteaga",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Dept. of Phys. and Astron., Univ. of Oklahoma, Norman,
OK, USA",
keywords = "Bessel function integral; integration; numerical
methods; Schafheitlin method; trigonometric function;
Weber",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Campbell:1979:BFR,
author = "J. B. Campbell",
title = "{Bessel} functions {$J_\nu(x)$} and {$Y_\nu(x)$} of
real order and real argument",
journal = j-COMP-PHYS-COMM,
volume = "18",
number = "1",
pages = "133--142",
month = sep,
year = "1979",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(79)90030-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 06:01:26 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465579900304",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Carlson:1979:CEI,
author = "B. C. Carlson",
title = "Computing elliptic integrals by duplication",
journal = j-NUM-MATH,
volume = "33",
number = "1",
pages = "1--16",
month = mar,
year = "1979",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D20",
MRnumber = "80h:65008",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Logarithms, arctangents, and elliptic integrals of all
three kinds (including complete integrals) are
evaluated numerically by successive applications of the
duplication theorem. When the convergence is improved
by including a fixed number of terms of Taylor's
series, the error ultimately decreases by a factor of
4096 in each cycle of iteration. Except for Cauchy
principal values there is no separation of cases
according to the values of the variables, and no
serious cancellations occur if the variables are real
and nonnegative. Only rational operations and square
roots are required. An appendix contains a recurrence
relation and two new representations (in terms of
elementary symmetric functions and power sums) for
$R$-polynomials, as well as an upper bound for the
error made in truncating the Taylor series of an
$R$-function.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classification = "C4180 (Integral equations)",
corpsource = "Dept. of Math. and Phys., Iowa Univ., Ames, IA, USA",
keywords = "convergence; duplication theory; elliptic integral;
integration; numerical methods; R-polynomial; Taylor
series",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Cole:1979:EI,
author = "R. J. Cole and C. Pescatore",
title = "Evaluation of the Integral $\int_0^\infty t^n
\exp(-t^2 - x/t) \, dt$",
journal = j-J-COMPUT-PHYS,
volume = "32",
number = "2",
pages = "280--287",
month = aug,
year = "1979",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(79)90135-9",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:34 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999179901359",
abstract = "The main purpose of this paper is to provide a unified
approach to the treatment of linear recurrence
relations for single or pairs of order statistics.
Suppose such a relation has been proved in the simplest
case when $X_1, \ldots{}, X_n$ are independent variates
having an arbitrary absolutely continuous distribution.
It is pointed out that the same relation continues to
hold when the $X$'s are exchangeable, whether
continuous or not. As has recently become well known,
further generalizations are possible when the $X$'s
have any joint distribution. Attention is also drawn to
a useful nonlinear recurrence relation due to Boncelet
(1987).",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
}
@Article{Conde:1979:Z,
author = "S. Conde and S. L. Kalla",
title = "The $\nu$-zeros of ${J}_{-\nu}(x)$",
journal = j-MATH-COMPUT,
volume = "33",
number = "145",
pages = "423--426",
month = jan,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20",
MRnumber = "80b:65021",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4170 (Differential equations); C4190 (Other numerical
methods)",
corpsource = "Facultad de Ingenieria, Univ. del Zulia, Maracaibo,
Venezuela",
keywords = "Bessel function; boundary value; boundary-value
problems; J/sub -v/(x); partial differential equations;
poles and zeros; problems; transforms; v-zeros",
remark = "Fullerton: With a microfiche supplement.",
treatment = "T Theoretical or Mathematical",
}
@Article{Delic:1979:CSS,
author = "G. Delic",
title = "{Chebyshev} series for the spherical {Bessel} function
$j_l(r)$",
journal = j-COMP-PHYS-COMM,
volume = "18",
number = "1",
pages = "73--86",
month = sep,
year = "1979",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(79)90025-0",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 06:01:26 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465579900250",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Einarsson:1979:BEN,
author = "Bo Einarsson",
title = "Bibliography on the evaluation of numerical software",
journal = j-J-COMP-APPL-MATH,
volume = "5",
number = "2",
pages = "145--159",
month = jun,
year = "1979",
CODEN = "JCAMDI",
DOI = "http://dx.doi.org/10.1016/0771-050X(79)90011-1",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
bibdate = "Thu Oct 28 17:14:49 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "This bibliography on the evaluation of numerical
software has been written at the request of the IFIP
Working Group on Numerical Software (IFIP WG 2.5), and
is divided into nine different sections. Within each
section the references are given in alphabetical order
by the first author. The aim of the bibliography is to
be useful in the production and evaluation of good
software for numerical mathematics.",
acknowledgement = ack-nhfb,
tableofcontents = "2. Miscellaneous evaluations \\
3. Linear algebra \\
4. Optimization and nonlinear equations \\
5. Functions \\
6. Quadrature \\
7. Integral equations \\
8. Ordinary differential equations \\
9. Partial differential equations",
}
@Article{elLozy:1979:RAS,
author = "Mohamed el Lozy",
title = "Remark on ``{Algorithm 395: Student's
$t$-Distribution}'' and Remark on ``{Algorithm 396:
Student's Quantiles [S14]}''",
journal = j-TOMS,
volume = "5",
number = "2",
pages = "238--239",
month = jun,
year = "1979",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Feb 06 05:28:16 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See
\cite{Hill:1970:AASa,Hill:1970:AASb,Hill:1981:RSD,Hill:1985:RCS}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The algorithms are corrected for computers
with anomalously small word lengths (e.g., IBM and
Interdata).",
}
@Article{Epstein:1979:STE,
author = "H. I. Epstein and B. F. Caviness",
title = "A structure theorem for the elementary functions and
its application to the identity problem",
journal = j-INT-J-COMPUT-INF-SCI,
volume = "8",
number = "1",
pages = "9--37",
year = "1979",
CODEN = "IJCIAH",
ISSN = "0091-7036",
MRclass = "12H05 (68C05)",
MRnumber = "80k:12032",
MRreviewer = "Michael F. Singer",
bibdate = "Sat Apr 26 12:45:53 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1979:AEU,
author = "Henry E. Fettis",
title = "An asymptotic expansion for the upper percentage
points of the $\chi^{2}$-distribution",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1059--1064",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "62E20",
MRnumber = "80h:62014",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "approximation theory; asymptotic expansion; upper
percentage point",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gabutti:1979:HPM,
author = "Bruno Gabutti",
title = "On high precision methods for computing integrals
involving {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1049--1057",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D30",
MRnumber = "80c:65048",
MRreviewer = "K. Jetter",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations); C4240 (Programming and
algorithm theory)",
corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino,
Italy",
keywords = "Bessel function integral; computational complexity;
exponential function integral; integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1979:AIG,
author = "W. Gautschi",
title = "{Algorithm 542}: Incomplete Gamma Functions [{S14}]",
journal = j-TOMS,
volume = "5",
number = "4",
pages = "482--489",
month = dec,
year = "1979",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355853.355864",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sun Aug 28 00:39:50 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: FORTRAN routines of adjustable accuracy.",
}
@Article{Gautschi:1979:CPI,
author = "Walter Gautschi",
title = "A Computational Procedure for Incomplete Gamma
Functions",
journal = j-TOMS,
volume = "5",
number = "4",
pages = "466--481",
month = dec,
year = "1979",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355853.355863",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Sun Aug 28 00:32:50 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Algorithms for the incomplete gamma
function, $\gamma(a, x)$, the complementary function,
$\Gamma(a, x)$, and Tricomi's form, $\gamma'(a, x)$,
are given.",
}
@Article{Glasser:1979:NI,
author = "M. L. Glasser",
title = "A Note on the Integral $\int^\infty_0t^{2\alpha-1}(1 +
t^2)^{1-\alpha-\beta} {J}_\nu(x\sqrt{1 + t^2}) dt$",
journal = j-MATH-COMPUT,
volume = "33",
number = "146",
pages = "792--793",
month = apr,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A40",
MRnumber = "80d:33004",
MRreviewer = "T. Erber",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1120 (Mathematical analysis); C4180 (Integral
equations)",
corpsource = "Math. and Computer Sci. Dept., Clarkson Coll. of
Technol., Potsdam, NY, USA",
keywords = "Bessel functions; hypergeometric series; integral;
integral equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Haavie:1979:GNT,
author = "Tore H{\aa}vie",
title = "Generalized {Neville} type extrapolation schemes",
journal = j-BIT,
volume = "19",
number = "2",
pages = "204--213",
month = jun,
year = "1979",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01930850",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65B05 (65D05 65D30)",
MRnumber = "80f:65005",
MRreviewer = "Siegfried Filippi",
bibdate = "Wed Jan 4 18:52:16 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=19&issue=2;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=19&issue=2&spage=204",
acknowledgement = ack-nhfb,
}
@Article{Johnson:1979:RAF,
author = "Donald B. Johnson and Webb Miller and Brian Minnihan
and Celia Wrathall",
title = "Reducibility Among Floating-Point Graphs",
journal = j-J-ACM,
volume = "26",
number = "4",
pages = "739--760",
month = oct,
year = "1979",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
MRclass = "65G05",
MRnumber = "80i:65045",
bibdate = "Fri Dec 08 11:55:10 1995",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "The graph-theoretic models of this paper can be used
to compare the rounding-error behavior of numerical
programs. The models follow the approach, popularized
by Wilkinson, of assuming independent rounding errors
in each arithmetic operation. Models constructed on
this assumption are more tractable than would be the
case under more realistic assumptions. There are
identified two easily tested conditions on programs
which guarantee that error analyses are relatively
insensitive to the particular graph model employed. The
development has the additional benefit of sometimes
providing an elementary proof that one program is
comparable in stability to another. Examples of such
results are given.",
acknowledgement = ack-nhfb,
}
@Article{Leung:1979:AFE,
author = "K. V. Leung and S. S. Ghaderpanah",
title = "An application of the finite element approximation
method to find the complex zeros of the modified
{Bessel} function ${K}_{n}(z)$",
journal = j-MATH-COMPUT,
volume = "33",
number = "148",
pages = "1299--1306",
month = oct,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (33-04)",
MRnumber = "80e:65024",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Concordia Univ., Montreal,
Que., Canada",
keywords = "Bessel function; complex zeros; finite element
analysis; finite element approximation method;
iterative optimisation scheme; modified; poles and
zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Maurone:1979:ABD,
author = "Philip A. Maurone and Alain J. Phares",
title = "On the asymptotic behavior of the derivatives of
{Airy} functions",
journal = j-J-MATH-PHYS,
volume = "20",
number = "11",
pages = "2191--2191",
month = nov,
year = "1979",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.523997",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "33A60",
MRnumber = "80j:33014",
bibdate = "Sat Oct 29 11:28:40 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i11/p2191_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis); A0365D
(Functional analytical methods in quantum theory);
A1235 (Composite models of particles)",
corpsource = "Dept. of Phys., Villanova Univ., Villanova, PA, USA",
keywords = "Airy functions; angular momentum theory; asymptotic
behavior; derivatives; functional analysis;
noniterative functional solution; quantum theory; quark
confinement; recursion relation",
onlinedate = "29 July 2008",
pagecount = "1",
treatment = "T Theoretical or Mathematical",
}
@Article{Morris:1979:DFR,
author = "Robert Morris",
title = "The Dilogarithm Function of a Real Argument",
journal = j-MATH-COMPUT,
volume = "33",
number = "146",
pages = "778--787",
month = apr,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (33A70)",
MRnumber = "80e:65025",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4240 (Programming and algorithm theory)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
keywords = "algorithm theory; dilogarithm function; real
argument",
remark = "Fullerton: Relative errors down to $10^{-24}$ for
$\operatorname{Li}_2(z) = -\int_0^z \frac{\log(1 -
z)}{z} \, dz$. $\operatorname{Li}_2(z)$ is a form of
Spence's integral.",
treatment = "T Theoretical or Mathematical",
}
@Article{Pexton:1979:DRT,
author = "Robert L. Pexton and Arno D. Steiger",
title = "Degenerate roots of three transcendental equations
involving spherical {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1041--1048",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "loose microfiche suppl. 65H10 (65D20)",
MRnumber = "80g:65057",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Lawrence Livermore Lab., Univ. of California,
Livermore, CA, USA",
keywords = "function approximation; spherical Bessel function;
transcendental equation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Phillips:1979:FAC,
author = "G. Phillips",
title = "A fast approximation to the complementary error
function for use in fitting gamma-ray peaks",
journal = j-NUCL-INSTR-METH,
volume = "164",
number = "??",
pages = "561--563",
month = sep,
year = "1979",
CODEN = "NUIMAL",
DOI = "http://dx.doi.org/10.1016/0029-554X(79)90094-6",
ISSN = "0029-554X",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://adsabs.harvard.edu/abs/1979NucIM.164..561P",
abstract = "A fast approximation to the complementary error
function has been programmed and tested for use in the
peak-shape function for fitting peaks in gamma-ray
spectra. The function was compared for speed and
accuracy on the NRL ASC 7 computer to the mathematical
library version of the complementary error function.
The approximation has resulted in a 50\% time savings
in the computer program HYPERMET which was developed at
NRL for automatic analysis of gamma-ray spectra from
germanium detectors.",
acknowledgement = ack-nhfb,
}
@Article{Risch:1979:APE,
author = "Robert H. Risch",
title = "Algebraic properties of the elementary functions of
analysis",
journal = j-AM-J-MATH,
volume = "101",
number = "4",
pages = "743--759",
year = "1979",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "12H05",
MRnumber = "81b:12029",
MRreviewer = "J. L. Johnson",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Schulten:1979:AEC,
author = "Z. (or K. ??) Schulten and D. G. M. Anderson and R. G.
Gordon",
title = "An Algorithm for the Evaluation of the Complex {Airy}
Functions",
journal = j-J-COMPUT-PHYS,
volume = "31",
number = "1",
pages = "60--75",
month = apr,
year = "1979",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(79)90062-7",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Oct 30 10:34:34 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
remark = "Fullerton: Simple formulae over the whole complex
plane are presented.",
}
@Article{Smith:1979:ALL,
author = "David A. Smith and William F. Ford",
title = "Acceleration of Linear and Logarithmic Convergence",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "2",
pages = "223--240",
month = apr,
year = "1979",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65B10",
MRnumber = "82a:65012",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Article{Takemasa:1979:CFC,
author = "T. Takemasa and T. Tamura and H. H. Wolter",
title = "{Coulomb} Functions with Complex Angular Momenta",
journal = j-COMP-PHYS-COMM,
volume = "17",
number = "4",
pages = "351--355",
month = jul # "\slash " # aug,
year = "1979",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(79)90097-3",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 30 11:14:02 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Description of program CCOULOM, which works
only in the part of the $(\rho, \eta)$-plane where
$\eta^2 \ll \rho$ and $|\ell|^2 \ll \rho$.",
}
@Article{Temme:1979:AAP,
author = "N. M. Temme",
title = "An Algorithm with {ALGOL 60} Program for the
Computation of the Zeros of Ordinary {Bessel} Functions
and those of their Derivatives",
journal = j-J-COMPUT-PHYS,
volume = "32",
number = "2",
pages = "270--279",
month = aug,
year = "1979",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(79)90134-7",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Oct 30 11:23:13 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Journal of Computational Physics",
remark = "Fullerton: An adjustable-accuracy 100 line Algol
procedure is discussed.",
}
@Article{Terras:1979:DIG,
author = "Riho Terras",
title = "The determination of incomplete gamma functions
through analytic integration",
journal = j-J-COMPUT-PHYS,
volume = "31",
number = "1",
pages = "146--151",
month = apr,
year = "1979",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(79)90066-4",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999179900664",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Thacher:1979:NBR,
author = "Henry C. {Thacher, Jr.}",
title = "New Backward Recurrences for {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "33",
number = "146",
pages = "744--764",
month = apr,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (33A40)",
MRnumber = "81b:65019",
MRreviewer = "R. G. Langebartel",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1120 (Mathematical analysis)",
corpsource = "Dept. of Computer Sci., Univ. of Kentucky, Lexington,
KY, USA",
keywords = "backward recurrences; Bessel functions; converges",
treatment = "N New Development; T Theoretical or Mathematical",
}
@Article{Brent:1980:SNA,
author = "Richard P. Brent and Edwin M. McMillan",
title = "Some new algorithms for high-precision computation of
{Euler}'s constant",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "305--312",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "10-04 (10A40 68C05)",
MRnumber = "82g:10002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Univ. of California, Berkeley, CA, USA",
keywords = "Bessel functions; computation; Euler's constant;
function evaluation; high precision",
remark = "Fullerton: Calculation to 30,100 places is discussed,
but only a 3-digit value appears in the paper.",
treatment = "N New Development; T Theoretical or Mathematical",
}
@InProceedings{Brent:1980:UAE,
author = "R. P. Brent",
title = "Unrestricted Algorithms for Elementary and Special
Functions",
crossref = "Lavington:1980:IPP",
pages = "613--619",
year = "1980",
bibdate = "Thu Sep 01 11:55:31 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Brezinski:1980:GEA,
author = "C. Brezinski",
title = "A general extrapolation algorithm",
journal = j-NUM-MATH,
volume = "35",
number = "2",
pages = "175--187",
month = jun,
year = "1980",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65B05",
MRnumber = "81j:65015",
MRreviewer = "L. Fox",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "UER IEEA, Univ. de Lille 1, Villeneuve d'Ascq,
France",
fjournal = "Numerische Mathematik",
keywords = "convergence acceleration; extrapolation; extrapolation
algorithm; linear extrapolation; rational
extrapolation; recursive algorithm; sequence
transformations",
treatment = "T Theoretical or Mathematical",
}
@Article{Char:1980:SCF,
author = "Bruce W. Char",
title = "On {Stieltjes}' continued fraction for the gamma
function",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "547--551",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65A05 (65D20)",
MRnumber = "81b:65008",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: The first 41 coefficients to 40 digits are
given.",
}
@Book{Cody:1980:SME,
author = "W. J. Cody and W. Waite",
title = "Software Manual for the Elementary Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "x + 269",
year = "1980",
ISBN = "0-13-822064-6",
ISBN-13 = "978-0-13-822064-8",
LCCN = "QA331 .C635 1980",
bibdate = "Thu Sep 1 10:12:51 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Coleman:1980:FSB,
author = "J. P. Coleman",
title = "A {Fortran} subroutine for the {Bessel} function
{$J_n(x)$} of order $0$ to $10$",
journal = j-COMP-PHYS-COMM,
volume = "21",
number = "1",
pages = "109--118",
day = "1",
month = dec,
year = "1980",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(80)90080-6",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 06:01:19 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465580900806",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Delahaye:1980:RNA,
author = "J. P. Delahaye and B. Germain-Bonne",
title = "{R}{\'e}sultats n{\'e}gatifs en acc{\'e}l{\'e}ration
de la convergence. ({French}) [{Negative} results in
convergence acceleration]",
journal = j-NUM-MATH,
volume = "35",
number = "4",
pages = "443--457",
month = nov,
year = "1980",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65B99 (40A99)",
MRnumber = "81k:65007",
MRreviewer = "Claude Brezinski",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4240 (Programming and algorithm theory)",
corpsource = "Univ. des Sci. et Tech. de Lille I, Villeneuve d'Ascq,
France",
keywords = "acceleration; algorithm; approximation theory;
computational complexity; convergence; convergence
acceleration; convergence of numerical methods",
language = "French",
treatment = "T Theoretical or Mathematical",
}
@Article{Ditkin:1980:CSF,
author = "V. A. Ditkin and K. A. Karpov and M. K. Kerimov",
title = "The computation of special functions",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "20",
number = "5",
pages = "3--12",
year = "1980",
CODEN = "CMMPA9",
ISSN = "0041-5553, 0502-9902",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.2.1; G.1.2",
CRclass = "G.2.1 Combinatorics; G.2.1 Generating functions; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, DISCRETE MATHEMATICS,
Combinatorics, Generating functions; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "algorithms; design",
guideno = "09092",
journalabr = "USSR Comput. Math. Math. Phys",
jrldate = "1980",
subject = "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Eckhardt:1980:AWE,
author = "Ulrich Eckhardt",
title = "{Algorithm 549}: {Weierstrass}' Elliptic Functions
[{S21}]",
journal = j-TOMS,
volume = "6",
number = "1",
pages = "112--120",
month = mar,
year = "1980",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355873.355884",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Mon Aug 29 10:31:24 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
keywords = "Weierstrass' elliptic functions",
remark = "Fullerton: A complex FORTRAN algorithm with accuracy
down to $10^{-18}$ is given",
}
@Article{Fransen:1980:HPV,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "High-precision values of the gamma function and of
some related coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "553--566",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65A05 (65D20)",
MRnumber = "81f:65004",
MRreviewer = "F. W. J. Olver",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
note = "See addendum and corrigendum
\cite{Fransen:1981:ACH}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 80D values of coefficients in the Taylor
series for $\Gamma^m(s + x)$ are given.",
}
@TechReport{Fullerton:1980:BEM,
author = "L. W. Fullerton",
title = "A Bibliography on the Evaluation of Mathematical
Functions",
type = "Technical report",
number = "TM 80-1274-4 and CSTR 86",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
month = sep,
year = "1980",
bibdate = "Sat Feb 05 17:39:14 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1980:SPI,
author = "W. Kahan",
title = "Software {$\sqrt{x}$} for the Proposed {IEEE}
Floating-Point Standard",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "????",
day = "25",
month = aug,
year = "1980",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
mynote = "Dated August 25 1980",
}
@Article{Kasperkovitz:1980:AAM,
author = "P. Kasperkovitz",
title = "Asymptotic approximations for modified {Bessel}
functions",
journal = j-J-MATH-PHYS,
volume = "21",
number = "1",
pages = "6--13",
month = jan,
year = "1980",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.524310",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "33A40",
MRnumber = "81a:33012",
MRreviewer = "N. Hayek Calil",
bibdate = "Sat Oct 29 18:18:22 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v21/i1/p6_s1",
acknowledgement = ack-nhfb,
onlinedate = "21 July 2008",
pagecount = "8",
}
@Article{Langebartel:1980:FER,
author = "R. G. Langebartel",
title = "{Fourier} expansions of rational fractions of elliptic
integrals and {Jacobian} elliptic functions",
journal = j-SIAM-J-MATH-ANA,
volume = "11",
number = "3",
pages = "506--513",
month = may,
year = "1980",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "42A16 (33A25)",
MRnumber = "81e:42008",
MRreviewer = "R. C. Varma",
bibdate = "Sat Dec 5 18:14:13 MST 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Maksymiv:1980:APT,
author = "E. M. Maksymiv",
booktitle = "Differentsialnye Uravneniya i ikh Prilozhen",
title = "Approximate properties of {Thiele}'s formula in a
class of elementary functions. ({Russian})",
volume = "141",
publisher = "Vestnik L'vov. Politekhn. Inst.",
address = "L'vov, USSR",
pages = "55--56",
year = "1980",
MRclass = "119.65D20",
MRnumber = "81i:65021",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{OBrien:1980:SBF,
author = "D. M. O'Brien",
title = "Spherical {Bessel} functions of large order",
journal = j-J-COMPUT-PHYS,
volume = "36",
number = "1",
pages = "128--132",
month = jun,
year = "1980",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(80)90177-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:01 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999180901771",
abstract = "This note introduces functions $b_n(x)$, related to
spherical Bessel functions $j_n(x)$ and $y_n(x)$. They
are scaled so that they are bounded functions of $n$
and polynomially bounded functions of $x$, and
therefore avoid the problems of underflow and overflow
which are so common with Bessel functions. They can be
generated from a stable recurrence relation for which
starting values are readily computable.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@InProceedings{Olver:1980:UAG,
author = "F. W. J. Olver",
title = "Unrestricted algorithms for generating elementary
functions",
crossref = "Alefeld:1980:PSE",
pages = "131--140",
year = "1980",
MRclass = "65G05 (65D15)",
MRnumber = "82b:65034",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Pedersen:1980:HBM,
author = "P. W. Pedersen",
title = "Hvordan beregner man kvadratroden? \toenglish {How do
you calculate the square root?} \endtoenglish",
journal = "Elektronik (Denmark)",
volume = "??",
number = "4",
pages = "18--21",
month = apr,
year = "1980",
bibdate = "Fri Sep 16 16:30:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@Article{Rengarajan:1980:MFI,
author = "S. R. Rengarajan and J. E. Lewis.",
title = "{Mathieu} Functions of Integral Order and Real
Arguments,",
journal = j-IEEE-TRANS-MICROWAVE-THEORY-TECH,
volume = "28",
number = "3",
pages = "276--277",
month = mar,
year = "1980",
CODEN = "IETMAB",
DOI = "http://dx.doi.org/10.1109/TMTT.1980.1130060",
ISSN = "0018-9480",
bibdate = "Sat Oct 30 10:09:01 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "To compute Mathieu functions, modified Mathieu
functions and related parameters for integral orders
and real arguments, encountered in wave propagation
involving elliptic geometries.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: A long FORTRAN program is very briefly
described. This work is superior to that of Clemm
(1969), because $q$ may be negative.",
}
@Article{Schonfelder:1980:VHA,
author = "J. L. Schonfelder",
title = "Very high accuracy {Chebyshev} expansions for the
basic trigonometric functions",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "237--244",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20",
MRnumber = "81f:65016",
MRreviewer = "Claude Carasso",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: 40D coefficients for the sine, cosine and
tangent are given.",
}
@Book{Sneddon:1980:SFM,
author = "Ian Naismith Sneddon",
title = "Special functions of mathematical physics and
chemistry",
publisher = "Longman",
address = "London, UK",
edition = "Third",
pages = "ix + 182",
year = "1980",
ISBN = "0-582-44396-2 (paperback)",
ISBN-13 = "978-0-582-44396-9 (paperback)",
LCCN = "QA351 .S64 1980",
bibdate = "Sat Oct 30 18:25:01 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Longman mathematical texts",
acknowledgement = ack-nhfb,
remark = "See first edition \cite{Sneddon:1956:SFM} and second
edition \cite{Sneddon:1961:SFM}.",
subject = "Functions, Special",
}
@InCollection{Tretjakov:1980:PSE,
author = "V. A. Tret'jakov",
booktitle = "Mathematical analysis and the theory of functions
({Russian}),",
title = "On the properties of some elementary functions that
are defined on the algebra of bicomplex numbers.
({Russian})",
publisher = "Moskov. Oblast. Ped. Inst.,",
address = "Moscow, USSR",
pages = "99--106",
year = "1980",
MRclass = "30G35 (78A35)",
MRnumber = "82i:30069",
MRreviewer = "Toma V. Tonev",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@PhdThesis{vonGudenberg:1980:EAR,
author = "J. Wolff {von Gudenberg}",
title = "{Einbettung allgemeiner Rechnerarithmetik in Pascal
mittels eines Operatorkonzepts und Implementierung der
Standardfunktionen mit optimaler Genauigkeit}
\toenglish {Embedding a General Computer Arithmetic in
Pascal by Means of an Operator Concept and the
Implementation of Elementary Functions with Optimal
Accuracy} \endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1980",
bibdate = "Sun Oct 25 10:29:29 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Waldecker:1980:NSR,
author = "D. E. Waldecker",
title = "Nonrestoring Square Root with Simplified Answer
Generation",
journal = j-IBM-TDB,
volume = "22",
number = "11",
pages = "4807--4808",
month = apr,
year = "1980",
CODEN = "IBMTAA",
ISSN = "0018-8689",
bibdate = "Thu Sep 1 10:15:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@Article{Bice:1981:AAS,
author = "P. K. Bice",
title = "Algorithm adds square root to micro's arithmetic
capability",
journal = j-ELECTRONIC-DESIGN,
volume = "29",
number = "11",
pages = "146",
month = may,
year = "1981",
CODEN = "ELODAW",
ISSN = "0013-4872",
bibdate = "Thu Sep 1 10:15:42 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@Article{Branrers:1981:RAZ,
author = "M. Branrers and R. Piessens and M. {De Meue}",
title = "Rational approximations for zeros of {Bessel}
functions",
journal = j-J-COMPUT-PHYS,
volume = "42",
number = "2",
pages = "403--405",
month = aug,
year = "1981",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(81)90253-9",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:07 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181902539",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Campbell:1981:BFR,
author = "J. B. Campbell",
title = "{Bessel} functions {$I_\nu(z)$} and {$K_\nu(z)$} of
real order and complex argument",
journal = j-COMP-PHYS-COMM,
volume = "24",
number = "1",
pages = "97--105",
month = sep # "\slash " # oct,
year = "1981",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(81)90109-0",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:27:59 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465581901090",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Carlson:1981:AAI,
author = "B. C. Carlson and Elaine M. Notis",
title = "{Algorithm 577}: Algorithms for Incomplete Elliptic
Integrals [{S21}]",
journal = j-TOMS,
volume = "7",
number = "3",
pages = "398--403",
month = sep,
year = "1981",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355958.355970",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Mon Aug 29 22:58:27 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "$R$-functions; elliptic integrals; inverse circular
functions; inverse hyperbolic functions; logarithms",
}
@Article{Chen:1981:AFD,
author = "Gang Chen",
title = "An attempt to find the derivatives of elementary
functions using the algorithmic language {BCY}.
({Chinese})",
journal = "Zhejiang Daxue Xuebao",
volume = "3",
pages = "141--149",
year = "1981",
MRclass = "26A09",
MRnumber = "714 524",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Davis:1981:EFA,
author = "Diane F. Davis",
title = "Elementary Functions on an Array Processor",
crossref = "IEEE:1981:PIS",
pages = "170--178",
year = "1981",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/arith.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Delahaye:1981:ACS,
author = "J.-P. Delahaye",
title = "Acc{\'e}l{\'e}ration de la convergence des suites dont
le rapport des erreurs est born{\'e}. ({French})
[{Convergence} acceleration for sequences with bounded
error ratios]",
journal = j-CALCOLO,
volume = "18",
number = "2",
pages = "1--116",
year = "1981",
CODEN = "CDABAE",
DOI = "http://dx.doi.org/10.1007/BF02576491",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
ISSN-L = "0008-0624",
MRclass = "65B05",
MRnumber = "647821 (83a:65004)",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Calcolo",
keywords = "convergence acceleration",
language = "{French}",
}
@InProceedings{Farmwald:1981:HBE,
author = "P. Michael Farmwald",
title = "High Bandwidth Evaluation of Elementary Functions",
crossref = "IEEE:1981:PIS",
pages = "139--142",
year = "1981",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/arith.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1981:TEHb,
author = "Henry E. Fettis",
title = "Table errata: {{\em Handbook of elliptic integrals for
engineers and physicists} [second edition, Springer,
New York, 1971 and MR {\bf 43} \#3506] by P. F. Byrd
and M. D. Friedman}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "317--317",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65A05",
MRnumber = "82a:65008a",
bibdate = "Sat Apr 12 15:32:35 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1981:TETb,
author = "Henry E. Fettis",
title = "Table errata: {{\em A table of the complete elliptic
integral of the first kind for complex values of the
modulus, Part I} [Rep. No. ARL 69-0172, Aerospace Res.
Lab., Wright--Patterson Air Force Base, Ohio, 1969; MR
{\bf 40} \#6725] by Fettis and J. C. Caslin}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "318",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "318.65A05",
MRnumber = "82a:65010",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Fransen:1981:ACH,
author = "Arne Frans{\'e}n",
title = "Addendum and corrigendum to: {``High-precision values
of the gamma function and of some related
coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150,
553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "233--235",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65002",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
note = "See \cite{Fransen:1980:HPV}.",
acknowledgement = ack-nhfb,
}
@Article{Fredette:1981:RES,
author = "G. Fredette",
title = "68000 routine extracts square roots",
journal = j-EDN,
volume = "26",
number = "16",
pages = "185--194",
month = aug,
year = "1981",
CODEN = "EDNSBH",
ISSN = "0012-7515, 0364-6637",
bibdate = "Thu Sep 1 10:15:56 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@TechReport{Fullerton:1981:FUMa,
author = "L. W. Fullerton",
title = "{FNLIB} User's Manual Explanatory Table of Contents",
type = "Technical report",
number = "CSTR 92",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
month = mar,
year = "1981",
bibdate = "Sat Feb 05 17:39:14 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Fullerton:1981:FUMb,
author = "L. W. Fullerton",
title = "{FNLIB} User's Manual",
type = "Technical report",
number = "CSTR 95",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
month = mar,
year = "1981",
bibdate = "Sat Feb 05 17:39:14 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Gasper:1981:SFB,
author = "George Gasper",
title = "Summation Formulas for Basic Hypergeometric Series",
journal = j-SIAM-J-MATH-ANA,
volume = "12",
number = "2",
pages = "196--200",
month = mar,
year = "1981",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A30",
MRnumber = "82a:33005",
MRreviewer = "L. J. Slater",
bibdate = "Sun Nov 28 19:22:39 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/12/2;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
}
@Article{Glasser:1981:CBS,
author = "M. L. Glasser",
title = "A Class of {Bessel} Summations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "499--501",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A40 (42A16 44A15)",
MRnumber = "82j:33015",
MRreviewer = "B. D. Agrawal",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math. and Computer Sci., Clarkson Coll.,
Potsdam, NY, USA",
keywords = "Bessel functions; Bessel summations; infinite series",
treatment = "T Theoretical or Mathematical",
}
@Article{Haavie:1981:RUT,
author = "Tore H{\aa}vie",
title = "Remarks on a unified theory for classical and
generalized interpolation and extrapolation",
journal = j-BIT,
volume = "21",
number = "4",
pages = "465--474",
month = dec,
year = "1981",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01932843",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "41A05 (65D05)",
MRnumber = "83d:41004",
MRreviewer = "G. M{\"u}hlbach",
bibdate = "Wed Jan 4 18:52:17 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=21&issue=4;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=21&issue=4&spage=465",
acknowledgement = ack-nhfb,
}
@Article{Hill:1981:RSD,
author = "G. W. Hill",
title = "Remark on ``{Algorithm 395: Student's
$t$-Distribution}''",
journal = j-TOMS,
volume = "7",
number = "2",
pages = "247--249",
month = jun,
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Feb 06 05:28:18 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See
\cite{Hill:1970:AASa,Hill:1970:AASb,elLozy:1979:RAS}.",
acknowledgement = ack-nhfb,
}
@Article{Hill:1981:RSQ,
author = "G. W. Hill",
title = "Remark on ``{Algorithm 396: Student's
$t$-Quantiles}''",
journal = j-TOMS,
volume = "7",
number = "2",
pages = "250--251",
month = jun,
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Feb 06 05:28:19 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Hill:1970:AASb}.",
acknowledgement = ack-nhfb,
}
@Article{Hough:1981:API,
author = "D. Hough",
title = "Application of the proposed {IEEE 754} standard for
floating-point arithmetic",
journal = j-COMPUTER,
volume = "14",
number = "3",
pages = "70--74",
year = "1981",
CODEN = "CPTRB4",
ISSN = "0018-9162 (print), 1558-0814 (electronic)",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1981.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
annote = "Various features of the proposed standard provide an
especially convenient environment for programming
numerical procedures such as the familiar elementary
functions.",
bydate = "MB",
byrev = "Le",
country = "USA",
date = "14/06/82",
descriptors = "Computer arithmetic; floating point; computation
structure; method; application; standard;",
enum = "1418",
language = "English",
location = "RWTH-AC-DFV: Bibl.",
references = "10",
revision = "21/04/91",
}
@Article{James:1981:LTS,
author = "D. G. James",
title = "Linear transformations of the second elementary
function",
journal = j-LIN-MULT-ALGEBRA,
volume = "10",
number = "4",
pages = "347--349",
year = "1981",
CODEN = "LNMLAZ",
ISSN = "0308-1087",
MRclass = "15A69 (10C15)",
MRnumber = "83c:15023",
MRreviewer = "E. W. Ellers",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Kunz:1981:QZ,
author = "W. Kunz",
title = "{Quadratwurzel mit dem {$\mu$P Z80}} \toenglish
{Square Roots with the {Z80} Microprocessor}
\endtoenglish",
journal = j-ELECTRONIK,
volume = "7",
pages = "109--110",
year = "1981",
CODEN = "EKRKAR",
ISSN = "0013-5658",
bibdate = "Fri Sep 16 16:30:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@InCollection{Longman:1981:DCA,
author = "I. M. Longman",
booktitle = "{Pad{\'e} approximation and its applications,
Amsterdam 1980 (Amsterdam, 1980)}",
title = "Difficulties of convergence acceleration",
volume = "888",
publisher = pub-SV,
address = pub-SV:adr,
pages = "273--289",
year = "1981",
MRclass = "65B10",
MRnumber = "649102 (83d:65013)",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Lecture Notes in Mathematics",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Maino:1981:CPC,
author = "G. Maino and E. Menapace and A. Ventura",
title = "Computation of parabolic cylinder functions by means
of a {Tricomi} expansion",
journal = j-J-COMPUT-PHYS,
volume = "40",
number = "2",
pages = "294--304",
month = apr,
year = "1981",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(81)90211-4",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:06 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181902114",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Markov:1981:ICE,
author = "S. M. Markov",
title = "On the interval computation of elementary functions",
journal = j-C-R-ACAD-BULGARE-SCI,
volume = "34",
number = "3",
pages = "319--322",
year = "1981",
CODEN = "DBANAD",
ISSN = "0366-8681",
MRclass = "65G10",
MRnumber = "83e:65084",
MRreviewer = "David F. Griffiths",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{McCullagh:1981:RCS,
author = "Peter McCullagh",
title = "A rapidly convergent series for computing $\psi (z)$
and its derivatives",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "247--248",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (33A15)",
MRnumber = "81m:65028",
MRreviewer = "J. Gregor",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2007741",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis)",
corpsource = "Imperial Coll. of Sci. and Technol., London, UK",
keywords = "(mathematics); convergence; function evaluation; log
gamma function; poles; poles and zeros; rapidly
convergent series; series; series expansion; uniformly
convergent",
treatment = "T Theoretical or Mathematical",
}
@Article{Moon:1981:AFC,
author = "Wooil Moon",
title = "{Airy} function with complex arguments",
journal = j-COMP-PHYS-COMM,
volume = "22",
number = "4",
pages = "411--417",
month = may,
year = "1981",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(81)90138-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 09:27:06 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465581901387",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@InProceedings{Peng:1981:AES,
author = "Hong Peng",
title = "Algorithms for extracting square roots and cube
roots",
crossref = "IEEE:1981:PSC",
pages = "121--126",
year = "1981",
bibdate = "Thu Sep 01 11:37:17 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Peng.pdf",
abstract = "This paper describes a kind of algorithms for fast
extracting square roots and cube roots, their
mathematical proofs, their revised algorithm formulae,
and hardware implementation of the square root
algorithm. These algorithms may be of no significance
for large scale computer with fast division. But I am
sure that it is effective and economical to apply these
algorithms to the circuit designs of some mini- and
microcomputers with general multiplication and
division, such as nonrestoring division.",
acknowledgement = ack-nj,
keywords = "ARITH-5",
}
@Article{Razaz:1981:RAF,
author = "M. Razaz and J. L. Schonfelder",
title = "Remark on ``{Algorithm} 498: {Airy} Functions Using
{Chebyshev} Series Approximations''",
journal = j-TOMS,
volume = "7",
number = "3",
pages = "404--405",
month = sep,
year = "1981",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355958.355971",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Tue Aug 30 00:28:07 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Prince:1975:AAF}.",
acknowledgement = ack-nhfb,
}
@Article{Schulten:1981:NAE,
author = "Z. Schulten and R. G. Gordon and D. G. M. Anderson",
title = "A numerical algorithm for the evaluation of {Weber}
parabolic cylinder functions {$U(a, x)$}, {$V(a, x)$},
and {$W(a, \pm x)$}",
journal = j-J-COMPUT-PHYS,
volume = "42",
number = "2",
pages = "213--237",
month = aug,
year = "1981",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(81)90241-2",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:07 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181902412",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Smith:1981:ERA,
author = "J. M. Smith and F. W. J. Olver and D. W. Lozier",
title = "Extended-Range Arithmetic and Normalized {Legendre}
Polynomials",
journal = j-TOMS,
volume = "7",
number = "1",
pages = "93--105",
month = mar,
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
MRclass = "65D20 (65G05)",
MRnumber = "83a:65017",
bibdate = "Mon Aug 29 22:02:12 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://doi.acm.org/10.1145/355934.355940",
acknowledgement = ack-nhfb,
keywords = "angular momentum; extended-range arithmetic; Legendre
polynomials; overflow; underflow",
}
@Article{Steinberg:1981:LSE,
author = "D. Steinberg and M. Rodeh",
title = "A layout for the shuffle-exchange network with
{$O(N^2/\log^{3/2}N)$} area",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-30",
number = "12",
pages = "977--982",
month = dec,
year = "1981",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1981.1675738",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "C.1.2; G.1.2",
CRclass = "C.1.2 Multiple Data Stream Architectures
(Multiprocessors); C.1.2 Interconnection architectures;
G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Computer Systems Organization, PROCESSOR
ARCHITECTURES, Multiple Data Stream Architectures
(Multiprocessors), Interconnection architectures;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "design",
guideno = "06519",
jrldate = "Dec. 1981",
subject = "C. Computer Systems Organization; C.1 PROCESSOR
ARCHITECTURES; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@Article{Steinhardt:1981:ASF,
author = "Paul J. Steinhardt and P. Chaudhari",
title = "{Airy} stress function for atomic models",
journal = j-J-COMPUT-PHYS,
volume = "42",
number = "2",
pages = "266--276",
month = aug,
year = "1981",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(81)90244-8",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:07 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181902448",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@InProceedings{Taylor:1981:CHD,
author = "George S. Taylor",
title = "Compatible hardware for division and square root",
crossref = "IEEE:1981:PSC",
pages = "127--134",
year = "1981",
bibdate = "Mon Sep 16 16:30:51 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Taylor.pdf",
abstract = "Hardware for radix four division and radix two square
root is shared in a processor designed to implement the
proposed IEEE floating-point standard. The division
hardware looks ahead to find the next quotient digit in
parallel with the next partial remainder. An 8-bit ALU
estimates the next remainder's leading bits. The
quotient digit look-up table is addressed with a
truncation of the estimate rather than a truncation of
the full partial remainder. The estimation ALU and the
look-up table are asymmetric for positive and negative
remainders. This asymmetry reduces the width of the ALU
and the number of minterms in the logic equations for
the look-up table. The square root algorithm obtains
the correctly rounded result in about two division
times using small extensions to the division
hardware.",
acknowledgement = ack-nhfb,
keywords = "ARITH-5",
}
@Article{Terras:1981:ASI,
author = "Riho Terras",
title = "Algorithms for some integrals of {Bessel} functions
and multivariate {Gaussian} integrals",
journal = j-J-COMPUT-PHYS,
volume = "41",
number = "1",
pages = "192--199",
month = may,
year = "1981",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(81)90087-5",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:06 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181900875",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Terras:1981:MAI,
author = "Riho Terras",
title = "A {Miller} algorithm for an incomplete {Bessel}
function",
journal = j-J-COMPUT-PHYS,
volume = "39",
number = "1",
pages = "233--240",
month = jan,
year = "1981",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(81)90147-9",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:04 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181901479",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Vogelius:1981:DRM,
author = "M. Vogelius and I. Babuska",
title = "On a dimensional reduction method. {II}. {Some}
approximation-theoretic results",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "47--68",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.7",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.7 Ordinary Differential Equations;
G.1.7 Boundary value problems",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Boundary value problems",
genterm = "theory",
guideno = "09396",
jrldate = "July 1981",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Book{Wimp:1981:STT,
author = "Jet Wimp",
title = "Sequence Transformations and Their Applications",
volume = "154",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xix + 257",
year = "1981",
ISBN = "0-08-095662-9 (e-book), 0-12-757940-0",
ISBN-13 = "978-0-08-095662-6 (e-book), 978-0-12-757940-5",
LCCN = "QA292 .W54",
bibdate = "Thu Dec 1 11:08:47 MST 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Mathematics in Science and Engineering",
URL = "http://public.eblib.com/EBLPublic/PublicView.do?ptiID=453177",
acknowledgement = ack-nhfb,
subject = "Sequences (Mathematics) Transformations (Mathematics)
Numerical analysis; Acceleration of convergence",
tableofcontents = "Front Cover \\
Sequence Transformations and Their Applications \\
Copyright Page \\
Contents \\
Preface \\
Acknowledgments \\
Notation \\
Chapter 1. Sequences and Series \\
Chapter 2. Linear Transformations \\
Chapter 3. Linear Lozenge Methods \\
Chapter 4. Optimal Methods and Methods Based on Power
Series \\
Chapter 5. Nonlinear Lozenges \\
Iteration Sequences \\
Chapter 6. The Schmidt Transformation \\
The e-Algorithm \\
Chapter 7. Aitken's $d^2$-Process and Related Methods
\\
Chapter 8. Lozenge Algorithms and the Theory of
Continued Fractions \\
Chapter 9. Other Lozenge Algorithms and Nonlinear
MethodsChapter 10. The Brezinski--H{\aa}vie
ProtocolChapter 11. The Brezinski--H{\aa}vie Protocol
and Numerical Quadrature \\
Chapter 12. Probabilistic Methods \\
Chapter 13. Multiple Sequences \\
Appendix \\
Bibliography \\
Index",
}
@Article{Andrews:1982:MMS,
author = "M. Andrews",
title = "Mathematical Microprocessor Software: {A} $\sqrt(x)$
Comparison",
journal = j-IEEE-MICRO,
volume = "2",
number = "3",
pages = "63--79",
month = may,
year = "1982",
CODEN = "IEMIDZ",
DOI = "http://dx.doi.org/10.1109/MM.1982.290970",
ISSN = "0272-1732 (print), 1937-4143 (electronic)",
ISSN-L = "0272-1732",
bibdate = "Thu Dec 14 06:08:58 MST 2000",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeemicro.bib;
Science Citation Index database (1980--2000)",
acknowledgement = ack-nj # " and " # ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C6150G (Diagnostic, testing, debugging and evaluating
systems)",
corpsource = "Colorado State Univ., Fort Collins, CO, USA",
fjournal = "IEEE Micro",
keywords = "16-bit machines; 8-bit machine; accuracy; Chen method;
computer testing; Cordic method; direct method;
function approximation; hardware; Intel 8080; Newton
method; PDP-11/20; software requirements; speed;
square-roots",
treatment = "T Theoretical or Mathematical",
}
@Article{Armengou:1982:ASQ,
author = "Santiago Zarzuela Armengou",
title = "About some questions of differential algebra
concerning to elementary functions",
journal = "Publ. Sec. Mat. Univ. Aut{\`o}noma Barcelona",
volume = "26",
number = "1",
pages = "5--15",
year = "1982",
MRclass = "12H05",
MRnumber = "86i:12009",
MRreviewer = "Michael F. Singer",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Barnett:1982:CCB,
author = "A. R. Barnett",
title = "{COULFG}: {Coulomb} and {Bessel} functions and their
derivatives, for real arguments, by {Steed}'s method",
journal = j-COMP-PHYS-COMM,
volume = "27",
number = "2",
pages = "147--166",
month = aug,
year = "1982",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(82)90070-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:03 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465582900704",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Barnett:1982:CFE,
author = "A. R. Barnett",
title = "Continued-fraction evaluation of {Coulomb} functions
{$F_\lambda(\eta, x)$}, {$G_\lambda(\eta, x)$} and
their derivatives",
journal = j-J-COMPUT-PHYS,
volume = "46",
number = "2",
pages = "171--188",
month = may,
year = "1982",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(82)90012-2",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:11 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999182900122",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@TechReport{Bazarov:1982:EEF,
author = "M. B. Bazarov and Yu. I. Shokin and Z. Kh. Yuldashev",
title = "On the Evaluation of Elementary Functions in Interval
Analysis (In {Russian})",
institution = "Applied Mathematics and Mechanics, Tashkent State
Univ.",
address = "Tashkent, USSR",
pages = "26--31",
year = "1982",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-jr # "\slash " # ack-nhfb,
}
@Article{Belevitch:1982:SIT,
author = "V. Belevitch and J. Boersma",
title = "On {Stieltjes} integral transforms involving
{$\Gamma$}-functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "223--226",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "44A15 (33A15 33A45)",
MRnumber = "83d:44001",
MRreviewer = "V. M. Bhise",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Philips Res Lab., Brussels, Belgium",
keywords = "Gamma functions; integral transforms; Stieltjes
transforms; systematic classification; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Borwein:1982:MNT,
author = "P. B. Borwein",
title = "On a method of {Newman} and a theorem of {Bernstein}",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "1",
pages = "37--41",
month = jan,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06012",
jrldate = "Jan. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Brezinski:1982:ASG,
author = "C. Brezinski",
title = "{Algorithm 585}: {A} Subroutine for the General
Interpolation and Extrapolation Problems",
journal = j-TOMS,
volume = "8",
number = "3",
pages = "290--301",
month = sep,
year = "1982",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/356004.356008",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Mon Aug 29 23:49:19 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
keywords = "algorithms; convergence acceleration; extrapolation;
interpolation; least squares approximation;
Neville--Aitken scheme",
}
@Article{Brezinski:1982:SNC,
author = "Claude Brezinski",
title = "Some New Convergence Acceleration Methods",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "133--145",
month = jul,
year = "1982",
CODEN = "MCMPAF",
DOI = "http://dx.doi.org/10.2307/2007624",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65B05",
MRnumber = "658218 (83f:65003)",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
keywords = "convergence acceleration",
}
@Book{Carroll:1982:TST,
author = "Robert Wayne Carroll",
title = "Transmutation, scattering theory, and special
functions",
volume = "87; 69",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "x + 457",
year = "1982",
ISBN = "0-444-86426-1 (paperback)",
ISBN-13 = "978-0-444-86426-0 (paperback)",
LCCN = "QA1 .N86 no. 87; QA329",
bibdate = "Sat Oct 30 18:29:29 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "North-Holland mathematics studies",
acknowledgement = ack-nhfb,
subject = "Transmutation operators; Scattering (Mathematics);
Inverse problems (Differential equations); Functions,
Special",
}
@Article{Chambers:1982:UBF,
author = "Ll. G. Chambers",
title = "An upper bound for the first zero of {Bessel}
functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "589--591",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A65",
MRnumber = "83h:33011",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1982:TTP,
author = "W. J. Cody",
title = "Transportable test procedures for elementary function
software",
crossref = "Mulvey:1982:EMP",
pages = "236--247",
year = "1982",
bibdate = "Thu Nov 17 06:39:08 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-wjc,
}
@Article{Crick:1982:IRB,
author = "S. E. Crick",
title = "Inclusion relations for {Bernstein} quasi-analytic
classes",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "4",
pages = "375--379",
month = apr,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms; theory",
guideno = "07841",
jrldate = "April 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Cruz:1982:ZHF,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Zeros of the {Hankel} function of real order and of
its derivative",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "639--645",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A40",
MRnumber = "83j:33005",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); B0290F (Interpolation
and function approximation); C4120 (Functional
analysis); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza,
Spain",
keywords = "approximation; derivative; evaluation; function
approximation; function evaluation; Hankel function;
poles and zeros; real order; trajectories; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Danielopoulos:1982:CEP,
author = "S. D. Danielopoulos",
title = "On the Cost of Evaluating Polynomials and Their
Derivatives",
journal = j-COMPUTING,
volume = "29",
number = "4",
pages = "373--380",
year = "1982",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "68C25 (68C20)",
MRnumber = "84a:68039",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
Compendex database;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Univ of Ioannina, Greece",
catcode = "G.1.2; G.4; G.1.0",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.4 Algorithm analysis; G.1.0 General;
G.1.0 Computer arithmetic",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis; Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic",
genterm = "economics; theory",
guideno = "04049",
journalabr = "Computing (Vienna/New York)",
jrldate = "1982",
keywords = "mathematical techniques",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Decker:1982:CAN,
author = "D. W. Decker and C. T. Kelley",
title = "Convergence acceleration for {Newton}'s method at
singular points",
journal = j-SIAM-J-NUMER-ANAL,
volume = "19",
number = "1",
pages = "219--229",
month = feb,
year = "1982",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "65H05 (58E07 65J15)",
MRnumber = "83e:65090",
MRreviewer = "Michael Pr{\"u}fer",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Delahaye:1982:SLC,
author = "J. P. Delahaye and B. Germain-Bonne",
title = "The set of logarithmically convergent sequences cannot
be accelerated",
journal = j-SIAM-J-NUMER-ANAL,
volume = "19",
number = "4",
pages = "840--844",
month = aug,
year = "1982",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65B99",
MRnumber = "83f:65005",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
keywords = "convergence acceleration",
}
@Article{Epstein:1982:UAF,
author = "C. Epstein and W. L. Miranker and T. J. Rivlin",
title = "Ultra-arithmetic {I}: function data types",
journal = j-MATH-COMP-SIM,
volume = "24",
number = "1",
pages = "1--18",
month = feb,
year = "1982",
CODEN = "MCSIDR",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1; G.1.2; G.1.2",
CRclass = "G.1.5 Roots of Nonlinear Equations; G.1.2
Approximation; G.1.2 Chebyshev approximation and
theory; G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
Nonlinear Equations; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Chebyshev
approximation and theory; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms",
guideno = "09324",
jrldate = "Feb. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Epstein:1982:UAI,
author = "C. Epstein and W. L. Miranker and T. J. Rivlin",
title = "Ultra-arithmetic {II}: intervals of polynomials",
journal = j-MATH-COMP-SIM,
volume = "24",
number = "1",
pages = "19--29",
month = feb,
year = "1982",
CODEN = "MCSIDR",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.1; G.1.0",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.1 Interpolation; G.1.1 Spline and
piecewise polynomial interpolation; G.1.0 General;
G.1.0 Error analysis",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Spline and piecewise polynomial
interpolation; Mathematics of Computing, NUMERICAL
ANALYSIS, General, Error analysis",
genterm = "algorithms",
guideno = "09325",
jrldate = "Feb. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Fernandez:1982:HCI,
author = "F. M. Fern{\'a}ndez and A. Mes{\'o}n and E. A.
Castro",
title = "Hypervirial calculation of integrals involving
{Bessel} functions",
journal = j-J-MATH-PHYS,
volume = "23",
number = "2",
pages = "254--255",
month = feb,
year = "1982",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.525345",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81C05 (33A40 82A51)",
MRnumber = "83c:81010",
bibdate = "Sat Oct 29 18:19:03 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v23/i2/p254_s1",
acknowledgement = ack-nhfb,
pagecount = "2",
}
@Article{Gawronski:1982:ACF,
author = "W. Gawronski and U. Stadtm{\"u}ller",
title = "Approximation of continuous functions by generalized
{Favard} operators",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "4",
pages = "384--396",
month = apr,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory; algorithms",
guideno = "06038",
jrldate = "April 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Gessel:1982:SEH,
author = "Ira Gessel and Dennis Stanton",
title = "Strange Evaluations of Hypergeometric Series",
journal = j-SIAM-J-MATH-ANA,
volume = "13",
number = "2",
pages = "295--308",
month = mar,
year = "1982",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A30",
MRnumber = "83c:33002",
MRreviewer = "C. L. Parihar",
bibdate = "Sun Nov 28 19:22:53 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/2;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
}
@Article{Gordon:1982:RAN,
author = "H. T. Gordon",
title = "Rough approximation numerical algorithms",
journal = j-DDJ,
volume = "7",
number = "7",
pages = "54--56",
month = jul,
year = "1982",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.ddj.com/index/author/index.htm;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.0; G.1.2",
CRclass = "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
guideno = "04547",
jrldate = "July 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Greaves:1982:AHM,
author = "G. Greaves",
title = "An algorithm for the {Hausdorff} moment problem",
journal = j-NUM-MATH,
volume = "39",
number = "2",
pages = "231--238",
month = aug,
year = "1982",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms",
guideno = "07489",
jrldate = "Aug. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Hermann:1982:SAG,
author = "Robert Hermann",
title = "Some algebraic, geometric, and system-theoretic
properties of the {Special Functions} of mathematical
physics",
journal = j-J-MATH-PHYS,
volume = "23",
number = "7",
pages = "1282--1294",
month = jul,
year = "1982",
CODEN = "JMAPAQ",
DOI = "http://dx.doi.org/10.1063/1.525511",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 18:19:10 MDT 2011",
bibsource = "http://jmp.aip.org/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v23/i7/p1282_s1",
abstract = "It is known that many of the Special Functions of
mathematical physics appear as matrix elements of Lie
group representations. This paper is concerned with a
beginning attack on the converse problem, i.e., finding
conditions that a given function be a matrix element.
The methods used are based on a combination of ideas
from system theory, functional analysis, Lie theory,
differential algebra, and linear ordinary differential
equation theory. A key idea is to attach a symbol as an
element of a commutative algebra. In favorable cases,
this symbol defines a Riemann surface, and a
meromorphic differential form on that surface. The
topological and analytical invariants attached to this
form play a key role in system theory. The Lie algebras
of the groups appear as linear differential operators
on this Riemann surface. Finally, it is shown how the
Picard--Vessiot--Infeld--Hull theory of factorization
of linear differential operators leads to realization
of many Special Functions as matrix representations of
group representations.",
acknowledgement = ack-nhfb,
pagecount = "13",
}
@TechReport{Kahan:1982:BCC,
author = "W. Kahan",
title = "Branch Cuts for Complex Elementary Functions",
type = "Technical Report",
number = "PAM-105",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
year = "1982",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/Matrix.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "na, elementary function",
}
@Article{Keener:1982:CLB,
author = "L. L. Keener",
title = "Characterizing local best {SAIN} approximations",
journal = j-J-APPROX-THEORY,
volume = "36",
number = "1",
pages = "55--63",
month = sep,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Chebyshev approximation and
theory; G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Chebyshev approximation and theory;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06074",
jrldate = "Sept. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Lassey:1982:CCI,
author = "Keith R. Lassey",
title = "On the computation of certain integrals containing the
modified {Bessel} function ${I}_{0}(\xi )$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "625--637",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20",
MRnumber = "83j:65029",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand",
keywords = "approximation; approximation theory; convergence of
numerical methods; convergent series; function;
function approximation; integration; limiting
behaviour; modified Bessel; numerical integration;
one-dimensional integrals; two-dimensional integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Ling:1982:EIH,
author = "Chih Bing Ling and Ming Jing Wu",
title = "Evaluation of integrals of {Howland} type involving a
{Bessel} function",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "215--222",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); B0290M (Numerical
integration and differentiation); C1120 (Mathematical
analysis); C4160 (Numerical integration and
differentiation)",
corpsource = "Dept. of Maths., Virginia Polytech. Inst. and State
Univ., Blacksburg, VA, USA",
keywords = "10D; 20D; accuracy; Bessel function; Bessel functions;
Howland type; integrals; integration; tabulated
values",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Mori:1982:ARS,
author = "S. Mori and C. Y. Suen",
editor = "Ching Y. Suen and Renato {De Mori}",
key = "Scanners",
booktitle = "Computer analysis and perception: vol. I, {Visual}
signals",
title = "Automatic recognition of symbols and architecture of
the recognition unit",
publisher = pub-CRC,
address = pub-CRC:adr,
pages = "17--40",
year = "1982",
ISBN = "0-8493-6305-5 (vol. 1), 0-8493-6306-3 (vol. 2)",
ISBN-13 = "978-0-8493-6305-4 (vol. 1), 978-0-8493-6306-1 (vol.
2)",
LCCN = "TA1650 .C65 1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
bookpages = "various",
catcode = "I.5; G.1.2; C.3; B.7; I.5.4",
CRclass = "I.5.2 Design Methodology; G.1.2 Approximation; G.1.2
Elementary function approximation; C.3 Signal
processing systems; B.7.1 Types and Design Styles;
I.5.4 Applications; I.5.4 Signal processing",
descriptor = "Computing Methodologies, PATTERN RECOGNITION, Design
Methodology; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Computer Systems Organization,
SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS, Signal
processing systems; Hardware, INTEGRATED CIRCUITS,
Types and Design Styles; Computing Methodologies,
PATTERN RECOGNITION, Applications, Signal processing",
genterm = "documentation; theory; design",
guideno = "01691",
subject = "I. Computing Methodologies; I.5 PATTERN RECOGNITION;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; C.
Computer Systems Organization; C.3 SPECIAL-PURPOSE AND
APPLICATION-BASED SYSTEMS; B. Hardware; B.7 INTEGRATED
CIRCUITS; I. Computing Methodologies; I.5 PATTERN
RECOGNITION",
}
@Article{Oklobdzija:1982:LSR,
author = "V. G. Oklobdzija and M. D. Ercegovac",
title = "An On-Line Square Root Algorithm",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-31",
number = "1",
pages = "70--75",
month = jan,
year = "1982",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1982.1675887",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Sun Jul 10 10:33:09 MDT 2011",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675887",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Ollin:1982:CFE,
author = "H. Z. Ollin and I. Gerst",
title = "Classes of functions with explicit best uniform
approximations",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "3",
pages = "264--276",
month = mar,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06030",
jrldate = "March 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Piessens:1982:ACB,
author = "R. Piessens",
title = "Automatic computation of {Bessel} function integrals",
journal = j-COMP-PHYS-COMM,
volume = "25",
number = "3",
pages = "289--295",
month = mar,
year = "1982",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(82)90024-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:01 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465582900248",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Rack:1982:GIV,
author = "H.-J Rack",
title = "A generalization of an inequality of {V. Markov} to
multivariate polynomials",
journal = j-J-APPROX-THEORY,
volume = "35",
number = "1",
pages = "94--97",
month = may,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06047",
jrldate = "May 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Rix:1982:UQA,
author = "P. Rix",
title = "{Universeller Quad\-rat\-wurz\-el-Al\-go\-rith\-mus}
\toenglish {Universal Square Root Algorithms}
\endtoenglish",
journal = j-ELECTRONIK,
volume = "23",
pages = "81--82",
year = "1982",
CODEN = "EKRKAR",
ISSN = "0013-5658",
bibdate = "Fri Sep 16 16:30:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@PhdThesis{Rockey:1982:DMS,
author = "S. A. Rockey",
title = "Discrete methods of state approximation, parameter
identification and optimal control for hereditary
systems",
type = "{Ph.D} Thesis",
school = "Brown University",
address = "Providence, RI",
pages = "208",
year = "1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.2; G.1.5",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Linear
approximation; G.1.5 Roots of Nonlinear Equations;
G.1.5 Convergence",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Linear approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
Equations, Convergence",
guideno = "15449",
source = "UMI order no. DA8228325",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Sommer:1982:EPL,
author = "M. Sommer",
title = "Existence of pointwise-{Lipschitz}-continuous
selections of the metric projection for a class of
{$Z$}-spaces",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "2",
pages = "115--130",
month = feb,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06018",
jrldate = "Feb. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@PhdThesis{Wang:1982:AME,
author = "J.-L Wang",
title = "Asymptotically minimax estimators for distributions
with increasing failure rate",
type = "{Ph.D} Thesis",
school = "University of California, Berkeley",
address = "Berkeley, CA, USA",
pages = "42",
year = "1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "design",
guideno = "15084",
source = "UMI order no. DA8300696",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Whitley:1982:MBI,
author = "R. Whitley",
title = "{Markov} and {Bernstein}'s inequalities, and compact
and strictly singular operators",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "3",
pages = "277--285",
month = mar,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06031",
jrldate = "March 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Wills:1982:RCA,
author = "C. A. Wills and J. M. Blair and P. L. Ragde",
title = "Rational {Chebyshev} approximations for the {Bessel}
functions ${J}_{0}(x)$, ${J}_{1}(x)$, ${Y}_{0}(x)$,
${Y}_{1}(x)$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "617--623",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (33A40 41A50)",
MRnumber = "83j:65030",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation
and function approximation); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada",
keywords = "approximations; Bessel functions; Chebyshev; Chebyshev
approximation; formulae; McMahon asymptotic; minimax
techniques; near-minimax rational approximation",
treatment = "T Theoretical or Mathematical",
}
@PhdThesis{Wimp:1982:CMS,
author = "Jet (Jesse Jet) Wimp",
title = "Computational methods and special functions",
type = "{D.Sc.} thesis",
school = "University of Edinburgh",
address = "Edinburgh, UK",
year = "1982",
bibdate = "Thu Dec 01 11:15:32 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Amos:1983:APF,
author = "Donald E. Amos",
title = "{Algorithm 610}: {A} Portable {FORTRAN} Subroutine for
Derivatives of the Psi Function",
journal = j-TOMS,
volume = "9",
number = "4",
pages = "494--502",
month = dec,
year = "1983",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/356056.356065",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D20",
MRnumber = "791 979",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.0; G.1; G; D.3.2",
CRclass = "G.1.0 General; G.1.0 Numerical algorithms; G.1.m
Miscellaneous; D.3.2 Language Classifications; D.3.2
FORTRAN",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Miscellaneous; Mathematics of
Computing, MISCELLANEOUS; Software, PROGRAMMING
LANGUAGES, Language Classifications, FORTRAN",
genterm = "ALGORITHMS",
guideno = "02212",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.m MISCELLANEOUS; D.
Software; D.3 PROGRAMMING LANGUAGES",
}
@Article{Benton:1983:CZT,
author = "T. C. Benton",
title = "Common Zeros of Two {Bessel} Functions. {Part II}.
{Approximations} and Tables",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "203--217",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A40 (65A05)",
MRnumber = "85a:33010",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math., Pennsylvania State Univ., University
Park, PA, USA",
keywords = "Bessel functions; computer program; poles and zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezinski:1983:CAE,
author = "C. Brezinski and J. P. Delahaye and B. Germain-Bonne",
title = "Convergence acceleration by extraction of linear
subsequences",
journal = j-SIAM-J-NUMER-ANAL,
volume = "20",
number = "6",
pages = "1099--1105",
month = dec,
year = "1983",
CODEN = "SJNAAM",
DOI = "http://dx.doi.org/10.1137/0720079",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65B99 (40A05)",
MRnumber = "723826 (85g:65014)",
MRreviewer = "John H. McCabe",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
keywords = "convergence acceleration",
}
@Article{Brezinski:1983:ECC,
author = "Claude Brezinski",
title = "Error control in convergence acceleration processes",
journal = j-IMA-J-NUMER-ANAL,
volume = "3",
number = "1",
pages = "65--80",
year = "1983",
CODEN = "IJNADH",
DOI = "http://dx.doi.org/10.1093/imanum/3.1.65",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65B99 (65D32 65G05)",
MRnumber = "705081 (85a:65004)",
MRreviewer = "John P. Coleman",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
keywords = "convergence acceleration",
}
@Article{Cash:1983:BRKa,
author = "J. R. Cash",
title = "Block {Runge--Kutta} Methods for the Numerical
Integration of Initial Value Problems in Ordinary
Differential Equations. {Part I}. {The} Nonstiff Case",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "175--191",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65L05",
MRnumber = "84d:65044a",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4160 (Numerical
integration and differentiation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
keywords = "approximate numerical integration; approximation
theory; block implicit formulae; block Runge--Kutta
formulae; C. W. Gear; differential equations;
equations; first order; formulae; initial value;
initial value problems; integration; linear multistep
methods; nonstiff problems; order; ordinary
differential; problems; Runge--Kutta methods;
Runge--Kutta starters; stepsize; stiff problems;
systems; variable order; variable order block
explicit",
treatment = "T Theoretical or Mathematical",
}
@Article{Cody:1983:ASM,
author = "W. J. Cody",
title = "Algorithm 597: Sequence of Modified {Bessel} Functions
of the First Kind",
journal = j-TOMS,
volume = "9",
number = "2",
pages = "242--245",
month = jun,
year = "1983",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, MISCELLANEOUS",
genterm = "algorithms",
guideno = "02186",
jrldate = "June 1983",
keywords = "algorithms",
subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation G
Mathematics of Computing, MISCELLANEOUS",
}
@Article{Coleman:1983:CEB,
author = "J. P. Coleman and A. J. Monaghan",
title = "{Chebyshev} expansions for the {Bessel} function
${J}_{n}(z)$ in the complex plane",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "343--366",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65A05 (30E10 33A40 65D20)",
MRnumber = "84c:65013",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cruz:1983:MPR,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Modulus and phase of the reduced logarithmic
derivative of the {Hankel} function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "597--605",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A40 (65H05 81F10)",
MRnumber = "85b:33006",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Demsky:1983:MMC,
author = "J. Demsky and M. Schlesinger and R. D. Kent",
title = "Micro/mini computer program for calculating the square
root of rationals at arbitrary precision",
journal = j-COMP-PHYS-COMM,
volume = "29",
number = "3",
pages = "237--244",
month = may,
year = "1983",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(83)90004-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:04 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465583900048",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Dietrich:1983:VQF,
author = "D. Dietrich",
title = "{Verfahren zur L{\"o}sung von Quadratwurzeln f{\"u}r
Mikrorechnerprozeduren} \toenglish {Methods for the
Solution of Square Roots for Microprocessor
Subroutines} \endtoenglish",
journal = j-ELEKTRONIKER,
volume = "8",
pages = "EL-1--EL-6",
year = "1983",
CODEN = "ELKRBL",
ISSN = "0531-9218",
bibdate = "Fri Dec 08 13:05:49 1995",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
}
@Article{Dubrulle:1983:CNM,
author = "Augustin A. Dubrulle",
title = "Class of Numerical Methods for the Computation of
{Pythagorean} Sums",
journal = j-IBM-JRD,
volume = "27",
number = "6",
pages = "582--589",
month = nov,
year = "1983",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Moler:1983:RSR} and generalization
\cite{Jamieson:1989:RCI}.",
abstract = "Moler and Morrison have described an iterative
algorithm for the computation of the Pythagorean sum
(a**2 plus b**2)** one-half of two real numbers a and
b. This algorithm is immune to unwarranted
floating-point overflows, has a cubic rate of
convergence, and is easily transportable. This paper,
which shows that the algorithm is essentially Halley's
method applied to the computation of square roots,
provides a generalization to any order of convergence.
Formulas of orders 2 through 9 are illustrated with
numerical examples. The generalization keeps the number
of floating-point divisions constant and should be
particularly useful for computation in high-precision
floating-point arithmetic.",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods); C5230 (Digital
arithmetic methods)",
classification = "723; 921",
corpsource = "IBM Sci. Centre, Palo Alto, CA, USA",
journalabr = "IBM J Res Dev",
keywords = "computer programming; digital arithmetic;
floating-point divisions; Halley's method;
high-precision floating-point arithmetic; iterative
algorithm; iterative methods; mathematical techniques
--- Numerical Methods; Pythagorean sums; rate of
convergence; square roots",
treatment = "T Theoretical or Mathematical",
}
@Article{Ellacott:1983:FTE,
author = "S. W. Ellacott",
title = "On the {Faber} transform and efficient numerical
rational approximation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "20",
number = "5",
pages = "989--1000",
month = oct,
year = "1983",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "41A20 (41A21)",
MRnumber = "85f:41010",
MRreviewer = "Lee L. Keener",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fessler:1983:HAA,
author = "Theodore Fessler and William F. Ford and David A.
Smith",
title = "{HURRY}: An Acceleration Algorithm for Scalar
Sequences and Series",
journal = j-TOMS,
volume = "9",
number = "3",
pages = "346--354",
month = sep,
year = "1983",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/356044.356051",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
MRclass = "65B10",
MRnumber = "791 970",
bibdate = "Sun Sep 04 19:50:51 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
}
@Article{Fukushima:1983:OAA,
author = "M. Fukushima",
title = "An outer approximation algorithm for solving general
convex programs",
journal = j-OPER-RES,
volume = "31",
number = "1",
pages = "101--113",
month = feb,
year = "1983",
CODEN = "OPREAI",
ISSN = "0030-364X (print), 1526-5463 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.4",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.4 Efficiency",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency",
genterm = "algorithms; documentation; performance; reliability;
theory",
guideno = "09992",
jrldate = "Jan./Feb. 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.4 MATHEMATICAL
SOFTWARE",
}
@Article{Giordano:1983:EAZ,
author = "C. Giordano and A. Laforgia",
title = "Elementary approximations for zeros of {Bessel}
functions",
journal = j-J-COMP-APPL-MATH,
volume = "9",
number = "3",
pages = "221--228",
month = sep,
year = "1983",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "08115",
jrldate = "Sept. 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Hasson:1983:C,
author = "M. Hasson and O. Shisha",
title = "On the condition
$\sum^{\infty}_{n=1}n^{p-1}{E}^{*}_{n}(f) < \infty$",
journal = j-J-APPROX-THEORY,
volume = "39",
number = "4",
pages = "389--398",
month = dec,
year = "1983",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
MRclass = "42A10 (41A10)",
MRnumber = "85a:42002",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See corrigendum \cite{}.",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "07952",
jrldate = "Dec. 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Johnson:1983:MGC,
author = "Gary M. Johnson",
title = "Multiple-grid convergence acceleration of viscous and
inviscid flow computations",
journal = j-APPL-MATH-COMP,
volume = "13",
number = "3--4",
pages = "375--398",
month = nov,
year = "1983",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "76-08",
MRnumber = "84m:76010",
bibdate = "Thu Feb 27 09:47:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@Article{Kershaw:1983:SEW,
author = "D. Kershaw",
title = "Some extensions of {W. Gautschi}'s inequalities for
the gamma function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "607--611",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A15 (26D20 65D20)",
MRnumber = "84m:33003",
MRreviewer = "P. Anandani",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lehnhoff:1983:NPT,
author = "H.-G Lehnhoff",
title = "A new proof of {Teljakowskii}'s theorem",
journal = j-J-APPROX-THEORY,
volume = "38",
number = "2",
pages = "177--181",
month = jun,
year = "1983",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "07897",
jrldate = "June 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Lehnhoff:1983:SPF,
author = "H.-G Lehnhoff",
title = "A simple proof of a {A.F. Timan}'s theorem",
journal = j-J-APPROX-THEORY,
volume = "38",
number = "2",
pages = "172--176",
month = jun,
year = "1983",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "07896",
jrldate = "June 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@InProceedings{Little:1983:CCS,
author = "F. Little",
editor = "Robert E. Barnhill and Wolfgang Boehm",
booktitle = "Surfaces in computer aided geometric design:
proceedings of a conference held at Mathematisches
Forschungsinstitut Oberwolfach, F.R.G., April 25--30,
1982, organized by Wolfgang Boehm and Josef Hoschek",
title = "Convex combination surfaces",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "99--109",
year = "1983",
ISBN = "0-444-86550-0",
ISBN-13 = "978-0-444-86550-2",
LCCN = "T385 .S827 1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
bookpages = "xvi + 215",
catcode = "G.1.1; G.1.1; G.1.2",
CRclass = "G.1.1 Interpolation; G.1.1 Interpolation formulas;
G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Interpolation formulas; Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation,
Smoothing; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "theory",
guideno = "13093",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@TechReport{Lutskii:1983:VFT,
author = "G. M. Lutski{\u{\i}} and O. I. Penchev",
title = "{\cyr Vychislenie {\`e}lementarnykh
funktsi{\u{\i}}metodom tsifra za tsifro{\u{\i}}v
izbytochnykh sistemakh schisleniya}. ({Russian})
[Calculation of elementary functions by the
digit-by-digit method in redundant number systems]",
type = "Preprint",
number = "83-22",
institution = "Akad. Nauk Ukrain. SSR, Inst. Kibernet.",
address = "Kiev, USSR",
pages = "30",
year = "1983",
MRclass = "65D20",
MRnumber = "719 021",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Mason:1983:CBF,
author = "Janet P. Mason",
title = "Cylindrical {Bessel} functions for a large range of
complex arguments",
journal = j-COMP-PHYS-COMM,
volume = "30",
number = "1",
pages = "1--11",
month = jul # "\slash " # aug,
year = "1983",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(83)90116-9",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:05 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465583901169",
abstract = "The evaluation of Bessel functions of the first and
second kinds, covering a wide range of complex
arguments and integer orders, is required in the
determination of the intensity of acoustic reflection
from absorbing bodies. Numerical problems associated
with the calculations are discussed and various means
by which these problems have been overcome are
explained. The numerical methods used in calculating
the Bessel functions of the first, second and third
kinds are given, as well as sample results and
numerical checks in the form of computer plots and
printouts.",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@TechReport{McCurdy:1983:ACD,
author = "A. McCurdy and K. C. Ng and Beresford N. Parlett",
title = "Accurate computation of divided differences of the
exponential function",
type = "Report",
number = "PAM-160",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
month = jun,
year = "1983",
bibdate = "Fri Nov 11 09:06:19 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Meister:1983:MYF,
author = "B. Meister",
title = "On {Murphy}'s yield formula",
journal = j-IBM-JRD,
volume = "27",
number = "6",
pages = "545--548",
month = nov,
year = "1983",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "B.7.1; G.1.2",
CRclass = "B.7.1 Types and Design Styles; B.7.1 Input/Output
circuits; G.1.2 Approximation; G.1.2 Elementary
function approximation",
descriptor = "Hardware, INTEGRATED CIRCUITS, Types and Design
Styles, Input/Output circuits; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "theory; design; reliability",
guideno = "06316",
jrldate = "Nov. 1983",
subject = "B. Hardware; B.7 INTEGRATED CIRCUITS; G. Mathematics
of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Mlodzki:1983:PPC,
author = "J. Mlodzki and J. Kuszkowski and M. Suffczynski",
title = "A {Pascal} program for calculating the reduced
{Coulomb} {Green}'s functions and their partial waves",
journal = j-COMP-PHYS-COMM,
volume = "29",
number = "4",
pages = "341--350",
month = jun,
year = "1983",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(83)90013-9",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Fri Feb 24 18:49:59 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.sciencedirect.com/science/journal/00104655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465583900139",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Moler:1983:RSR,
author = "Cleve B. Moler and Donald Morrison",
title = "Replacing Square Roots by {Pythagorean} Sums",
journal = j-IBM-JRD,
volume = "27",
number = "6",
pages = "577--581",
month = nov,
year = "1983",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
bibdate = "Thu Sep 1 10:15:41 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Dubrulle:1983:CNM} and generalization
\cite{Jamieson:1989:RCI}.",
URL = "http://www.research.ibm.com/journal/rd/276/ibmrd2706P.pdf",
abstract = "An algorithm is presented for computing a 'Pythagorean
sum' a(+)b= square root a/sup 2/+b/sup 2/ directly from
a and b without computing their squares or taking a
square root. No destructive floating point overflows or
underflows are possible. The algorithm can be extended
to compute the Euclidean norm of a vector. The
resulting subroutine is short, portable, robust, and
accurate, but not as efficient as some other
possibilities. The algorithm is particularly attractive
for computers where space and reliability are more
important than speed",
acknowledgement = ack-nj # " and " # ack-nhfb,
classcodes = "C4190 (Other numerical methods); C5230 (Digital
arithmetic methods)",
corpsource = "Dept. of Computer Sci., Univ. of New Mexico,
Albuquerque, NM, USA",
keywords = "algorithms; digital arithmetic; Euclidean norm;
floating-point arithmetic; iterative methods;
performance; Pythagorean sums; subroutine; vector",
review = "ACM CR 8406-0463",
subject = "G.1 Mathematics of Computing, NUMERICAL ANALYSIS,
Roots of Nonlinear Equations \\ F.2.1 Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on polynomials \\ F.2.2 Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Geometrical problems and computations",
treatment = "T Theoretical or Mathematical",
}
@PhdThesis{Monk:1983:SFE,
author = "P. B. Monk",
title = "Some finite element methods for the approximation of
the biharmonic equation",
type = "{Ph.D} Thesis",
school = "Rutgers University, The State University of New
Jersey",
address = "New Brunswick, NJ, USA",
pages = "242",
year = "1983",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.8; G.1.2",
CRclass = "G.1.8 Partial Differential Equations; G.1.8 Finite
element methods; G.1.2 Approximation; G.1.2 Elementary
function approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
Differential Equations, Finite element methods;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "design; algorithms; experimentation",
guideno = "15929",
source = "UMI order no. DA8308441",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Nave:1983:ITF,
author = "Rafi Nave",
key = "Nav83",
title = "Implementation of Transcendental Functions on a
Numerics Processor",
journal = j-MICROPROC-MICROPROG,
volume = "11",
pages = "221--225",
year = "1983",
CODEN = "MMICDT",
ISSN = "0165-6074 (print), 1878-7061 (electronic)",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Prosser:1983:NCS,
author = "C. J. Prosser",
title = "A note on computing the square root of an integer",
journal = j-COMP-J,
volume = "26",
number = "2",
pages = "187--188",
month = may,
year = "1983",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compj1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/187.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/188.tif",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods); C7310 (Mathematics
computing)",
corpsource = "Rutherford and Appleton Lab., Chilton, Didcot, UK",
keywords = "binary; computer; fixed-point number; integer;
interactive methods; iterative methods; PASCAL; Pascal
implementation; square root; subroutines; successive
subtraction",
treatment = "P Practical",
}
@Article{Sidi:1983:ZSP,
author = "Avram Sidi and Doron S. Lubinsky",
title = "On the zeros of some polynomials that arise in
numerical quadrature and convergence acceleration",
journal = j-SIAM-J-NUMER-ANAL,
volume = "20",
number = "2",
pages = "400--405",
month = apr,
year = "1983",
CODEN = "SJNAAM",
DOI = "http://dx.doi.org/10.1137/0720028",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65H05 (65D30)",
MRnumber = "694528 (84f:65046)",
MRreviewer = "J. G. Herriot",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
keywords = "convergence acceleration",
}
@Article{Talman:1983:LSC,
author = "James D. Talman",
title = "{LSFBTR}: a subroutine for calculating spherical
{Bessel} transforms",
journal = j-COMP-PHYS-COMM,
volume = "30",
number = "1",
pages = "93--99",
month = jul # "\slash " # aug,
year = "1983",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(83)90126-1",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:05 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465583901261",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Temme:1983:NCC,
author = "N. M. Temme",
title = "The numerical computation of the confluent
hypergeometric function ${U}(a,\,b,\,z)$",
journal = j-NUM-MATH,
volume = "41",
number = "1",
pages = "63--82",
month = apr,
year = "1983",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D20 (33A30 65D15)",
MRnumber = "84g:65030",
MRreviewer = "H. E. Fettis",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
classification = "C4120 (Functional analysis); C7310 (Mathematics
computing)",
corpsource = "Math. Centrum, Amsterdam, Netherlands",
keywords = "ALGOL 60 procedures; asymptotic expansions; confluent
hypergeometric function; function computation; function
evaluation; Miller algorithm; subroutines",
treatment = "P Practical; T Theoretical or Mathematical",
}
@TechReport{Temme:1983:TTR,
author = "N. M. Temme",
title = "Traces to {Tricomi} in recent work on special
functions and asymptotics of integrals",
type = "Report",
number = "TW 239/83",
institution = "Stichting mathematisch Centrum",
address = "Amsterdam, The Netherlands",
pages = "15",
year = "1983",
LCCN = "A1 M462 TW239/83",
bibdate = "Sat Oct 30 18:29:48 2010",
bibsource = "http://cat.cisti-icist.nrc-cnrc.gc.ca/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Volz:1983:CAA,
author = "H. V{\"o}lz",
title = "{{CORDIC} und {\"a}hnliche Algorithmen der elementaren
Funktionen mit besonderer Eignung f{\"u}r Mikrorechner}
\toenglish {CORDIC and Similar Algorithms for
Elementary Functions with Particular Aptitude for
Microcomputers} \endtoenglish",
journal = j-NACH-ELEK,
volume = "33",
number = "12",
pages = "506--510",
month = "????",
year = "1983",
CODEN = "NTELAP",
ISSN = "0323-4657",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Xu:1983:HPG,
author = "Xian Yu Xu and Jia Kai Li and Gui Jing Xiong and Guo
Liang Xu and Chun Qing Lu",
title = "High-precision generation of elementary functions.
({Chinese})",
journal = "Appl. Math. Math. Comput.",
volume = "6",
pages = "24--32",
year = "1983",
MRclass = "65D20",
MRnumber = "86e:65031",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Ardill:1984:ABF,
author = "R. W. B. Ardill and K. J. M. Moriarty",
title = "Accurate {Bessel} functions {$J_n(z)$}, {$Y_n(z)$},
{$H_n^{(1)}(z)$} and {$H_n^{(2)}(z)$} of integer order
and complex argument",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-559--C-559",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82734-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584827344",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Ardill:1984:BFC,
author = "W. B. Ardill and K. J. M. Moriarty",
title = "The {Bessel} functions {$J_0$} and {$J_1$} of complex
argument",
journal = j-COMP-PHYS-COMM,
volume = "35",
pages = "C-409--C-409",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82619-3",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Thu Apr 24 10:35:27 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Ardill:1984:SBF,
author = "R. W. B. Ardill and K. J. M. Moriarty",
title = "Spherical {Bessel} functions $j_n$ and $y_n$ of
integer order and real argument",
journal = j-COMP-PHYS-COMM,
volume = "35",
pages = "C-466--C-466",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82666-1",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Thu Apr 24 10:35:27 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
remark = "No code shown, but uses formulas from
\cite{Abramowitz:1964:HMF} for evaluations. Function
name is {\tt sphbes}.",
}
@Article{Bardin:1984:CFE,
author = "C. Bardin and Y. Dandeu and L. Gauthier and J.
Guillermin and T. Lena and J. -M. Pernet and H. H.
Wolter and T. Tamura",
title = "{Coulomb} functions in entire $(\eta, \pi)$-plane",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-125--C-126",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82382-6",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:06 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584823826",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Barnett:1984:CCB,
author = "A. R. Barnett",
title = "{Coulfg}: {Coulomb} and {Bessel} functions and their
derivatives, for real arguments, by {Steed}'s method",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-812--C-813",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82930-6",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:49 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584829306",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Barnett:1984:CWF,
author = "A. R. Barnett and D. H. Feng and J. W. Steed and L. J.
B. Goldfarb",
title = "{Coulomb} wave functions for all real $\eta$ and
$\rho$",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-285",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82515-1",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:15 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584825151",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Barnett:1984:KCF,
author = "A. R. Barnett",
title = "{Klein}: {Coulomb} functions for real $\lambda$ and
positive energy to high accuracy",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-753",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82884-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:49 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584828842",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Barnett:1984:RMR,
author = "A. R. Barnett",
title = "{RCWFF} --- a modification of the real {Coulomb}
wavefunction program {RCWFN}",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-370",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82585-0",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:24 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584825850",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Bell:1984:CFN,
author = "K. L. Bell and N. S. Scott",
title = "{Coulomb} functions (negative energies)",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-648",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82808-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:41 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584828088",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@InCollection{Berges:1984:AFE,
author = "J. C. Berges",
booktitle = "Space mathematics",
title = "Arithm{\'e}tique et fonctions {\'e}l{\'e}mentaires sur
mini-micro calculateurs. ({French}) [Arithmetic and
elementary functions on mini-micro computers]",
publisher = "C{\'e}padu{\`e}s",
address = "Toulouse, France",
pages = "193--229",
year = "1984",
MRclass = "65-01 (65-04)",
MRnumber = "849 200",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Berndt:1984:APA,
author = "Bruce C. Berndt and Larry A. Goldberg",
title = "Analytic properties of arithmetic sums arising in the
theory of the classical theta functions",
journal = j-SIAM-J-MATH-ANA,
volume = "15",
number = "1",
pages = "143--150",
month = jan,
year = "1984",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "11A15 (11A25 11F27)",
MRnumber = "85d:11008",
MRreviewer = "T. M. Apostol",
bibdate = "Sun Nov 28 19:23:19 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/15/1;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Black:1984:NIS,
author = "Cheryl M. Black and Robert P. Burton and Thomas H.
Miller",
title = "The Need for an Industry Standard of Accuracy for
Elementary-Function Programs",
journal = j-TOMS,
volume = "10",
number = "4",
pages = "361--366",
month = dec,
year = "1984",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
MRclass = "65D20",
MRnumber = "792 000",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
catcode = "G.1.0; G.1.2; G.4",
CRclass = "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.4 Efficiency",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, MATHEMATICAL
SOFTWARE, Efficiency",
genterm = "theory; algorithms; reliability; standardization",
guideno = "02897",
jrldate = "Dec. 1984",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE",
}
@Article{Borwein:1984:AGM,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic-Geometric Mean and Fast Computation of
Elementary Functions",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "351--366",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65D20 (26A09)",
MRnumber = "86d:65029",
MRreviewer = "S. Conde",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "We produce a self contained account of the
relationship between the Gaussian arithmetic-geometric
mean iteration and the fast computation of elementary
functions. A particularly pleasant algorithm for pi is
one of the by-products.",
acknowledgement = ack-nhfb # " and " # ack-nj,
affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "arithmetic-geometric mean; calculation of pi;
computational methods; elliptic functions; Iterative
Methods; mathematical techniques; numerical
mathematics",
}
@Article{Campbell:1984:BFRa,
author = "J. B. Campbell",
title = "{Bessel} Functions {$J_\nu(x)$} of real order and real
argument",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-583--C-583",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82756-3",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584827563",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Campbell:1984:BFZ,
author = "J. B. Campbell",
title = "{Bessel} functions ${I_\nu(z)$} and {$K_\nu(z)$} of
real order and complex argument",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-747--C-748",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82880-5",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:49 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584828805",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Coleman:1984:FSB,
author = "J. P. Coleman",
title = "A {Fortran} subroutine for the {Bessel} function
{$J_n(x)$} of order $0$ to $10$",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-654--C-654",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82814-3",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:41 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584828143",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
remark = "No code shown, but sums two separate Chebyshev series,
one for $x$ in $[0,8]$, and a second for $x$ in
$(8,\infty)$. Function name is {\tt realjn}.",
}
@Article{Delic:1984:CSS,
author = "G. Delic",
title = "{Chebyshev} sries for the spherical {Bessel} function
$l(r)$",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-577--C-577",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82751-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584827514",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Dhanoa:1984:BPE,
author = "M. S. Dhanoa and J. France",
title = "A {BASIC} program for the evaluation of the gamma
functions",
journal = j-J-APPL-STAT,
volume = "11",
number = "2",
pages = "225--228",
year = "1984",
CODEN = "????",
DOI = "http://dx.doi.org/10.1080/02664768400000021",
ISSN = "0266-4763 (print), 1360-0532 (electronic)",
ISSN-L = "0266-4763",
bibdate = "Tue Sep 6 11:15:50 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.tandf.co.uk/journals/routledge/02664763.html",
acknowledgement = ack-nhfb,
onlinedate = "24 May 2006",
}
@Article{Dutka:1984:EHH,
author = "Jacques Dutka",
title = "The early history of the hypergeometric function",
journal = j-ARCH-HIST-EXACT-SCI,
volume = "31",
number = "1",
pages = "15--34",
month = mar,
year = "1984",
CODEN = "AHESAN",
DOI = "http://dx.doi.org/10.1007/BF00330241",
ISSN = "0003-9519 (print), 1432-0657 (electronic)",
MRclass = "01A50 (33-03)",
MRnumber = "769538 (86d:01010)",
MRreviewer = "Willard Parker",
bibdate = "Fri Feb 4 21:50:21 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=31&issue=1;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=31&issue=1&spage=15",
acknowledgement = ack-nhfb,
fjournal = "Archive for History of Exact Sciences",
MRtitle = "The early history of the hypergeometric function",
}
@Article{Fransen:1984:CMM,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "Calculation of the moments and the moment generating
function for the reciprocal gamma distribution",
journal = j-MATH-COMPUT,
volume = "42",
number = "166",
pages = "601--616",
month = apr,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (60E10 62E15 65U05)",
MRnumber = "86f:65042a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C1210B (Reliability theory); C4130 (Interpolation and
function approximation)",
corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden",
keywords = "kurtosis; moment generating function; moments;
polynomials; reciprocal gamma distribution; reliability
theory; skewness; variance",
treatment = "T Theoretical or Mathematical",
}
@Article{Glaeske:1984:LTS,
author = "H.-J. Glaeske and O. I. Mari{\v{c}}ev",
title = "The {Laguerre} transform of some elementary
functions",
journal = j-Z-ANAL-ANWEND,
volume = "3",
number = "3",
pages = "237--244",
year = "1984",
ISSN = "0232-2064",
MRclass = "44A15 (34A10)",
MRnumber = "86a:44005",
MRreviewer = "Ram Kishore Saxena",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Grodd:1984:REN,
author = "Laurence W. Grodd and Charles M. Patton",
title = "{ROM} extends numerical function set of handheld
computer",
journal = j-HEWLETT-PACKARD-J,
volume = "35",
number = "7",
pages = "25--36",
month = jul,
year = "1984",
CODEN = "HPJOAX",
ISSN = "0018-1153",
bibdate = "Tue Mar 25 14:12:15 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.hpl.hp.com/hpjournal/pdfs/IssuePDFs/1984-07.pdf",
abstract = "The plug-in math PAC for HP's new HP-71B Handheld
Computer further extends the HP-71B's comprehensive
standard numerical function set to provide a
mathematical tool of unprecedented capability and power
in a personal machine. Full use of complex variables,
integration, matrix algebra, and polynomial root
finding are some of the capabilities provided by this
plug-in module.",
acknowledgement = ack-nhfb,
affiliation = "Hewlett--Packard Co, Corvallis, OR, USA",
affiliationaddress = "Hewlett--Packard Co, Corvallis, OR, USA",
classcodes = "C7310 (Mathematics computing)",
classification = "723",
journalabr = "Hewlett Packard J",
keywords = "complex; complex variables; computers, miniature; data
storage, digital --- Fixed; data type; extended I/O
functions; fast Fourier transform; handheld computer;
HP-71B hand-held computer; matrix operations; numerical
analysis; numerical function set; polynomial; read-only
storage; ROM; root finder",
remark = "The paper notes: ``Completely support provisions of
the proposed IEEE floating-point mathematics standard.
\ldots{} an HP-71B REAL variable --- a 12-digit
mantissa and a three-digit exponent in the range from
$-499$ to $499$. Each part of a COMPLEX SHORT variable
or array element has the same precision as an HP-71B
SHORT variable --- a five-digit mantissa and a
three-digit exponent in the range from $-499$ to $499$.
Of course, denormalized numbers, Inf (infinity), and
NaNs (not-a-numbers) are also permitted.''",
treatment = "P Practical; X Experimental",
}
@Article{Gustafson:1984:SCC,
author = "Sven-{\AA}ke Gustafson",
title = "On the stability of a class of convergence
acceleration methods for power series",
journal = j-BIT,
volume = "24",
number = "4",
pages = "510--519",
month = dec,
year = "1984",
CODEN = "BITTEL, NBITAB",
DOI = "http://dx.doi.org/10.1007/BF01934909",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65B10",
MRnumber = "764823 (86c:65006)",
MRreviewer = "D. Levin",
bibdate = "Thu Dec 1 17:36:45 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=510",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
keywords = "convergence acceleration",
}
@Article{Karp:1984:ELS,
author = "A. H. Karp",
title = "Exponential and Logarithm by Sequential Squaring",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-33",
number = "5",
pages = "462--464",
month = may,
year = "1984",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1984.1676464",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Sun Jul 10 09:22:52 MDT 2011",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.computer.org/tc/;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676464",
acknowledgement = ack-nj # "\slash " # ack-nhfb,
fjournal = "IEEE Transactions on Computers",
}
@Article{Kolbig:1984:PCL,
author = "K. S. K{\"o}lbig",
title = "Programs for computing the logarithm of the gamma
function, and the digamma function, for complex
argument",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-152",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82404-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:06 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584824042",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Laforgia:1984:FIG,
author = "Andrea Laforgia",
title = "Further Inequalities for the Gamma Function",
journal = j-MATH-COMPUT,
volume = "42",
number = "166",
pages = "597--600",
month = apr,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A15",
MRnumber = "85i:33001",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of Torino, Torino, Italy",
keywords = "gamma function; inequalities; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{McCurley:1984:EE,
author = "Kevin S. McCurley",
title = "Explicit Estimates for $\theta (x; 3, l)$ and $\psi
(x; 3, l)$",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "287--296",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "11N56",
MRnumber = "85g:11085",
MRreviewer = "G. J. Rieger",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Maths., Michigan State Univ., East Lansing,
MI, USA",
keywords = "arithmetic progressions; Chebyshev approximation;
Chebyshev functions; Dirichlet L-; explicit estimates;
functions; prime number; theorem; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Moon:1984:AFC,
author = "Wooil Moon",
title = "{Airy} function with complex arguments",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-692",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82842-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:41 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584828428",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Nesbet:1984:ARI,
author = "R. K. Nesbet",
title = "Algorithms for regular and irregular {Coulomb} and
{Bessel} functions",
journal = j-COMP-PHYS-COMM,
volume = "32",
number = "4",
pages = "341--347",
month = jul,
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(84)90051-1",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Thu Apr 24 10:35:27 2008",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465584900511",
abstract = "Algorithms for computing Coulomb--Bessel functions are
considered, with emphasis on obtaining accurate values
when the argument $x$ is inside the classical turning
point $x\lambda$. Algorithms of Barnett et al. for the
generalized Coulomb functions and their derivatives are
discussed in the context of the phase integral
formalism. Modified or alternative algorithms are
considered that are designed to be valid for all values
of argument $x$ and index $\lambda$ for the functions
$F_\lambda(x)$, $G_\lambda(x)$. An algorithm for
accelerating convergence of a power series by
conversion to a continued fraction is presented, and is
applied to the evaluation of spherical Bessel
functions. An explicit formula for the integrand of the
phase integral is presented for spherical Bessel
functions. The methods considered need to be augmented
by an efficient algorithm for computing the logarithmic
derivative of $G_0 + iF_0$ for Coulomb functions when
$x$ is smaller than the charge parameter $\eta$.",
acknowledgement = ack-nhfb,
}
@Article{Newman:1984:ABS,
author = "J. N. Newman",
title = "Approximations for the {Bessel} and {Struve}
functions",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "551--556",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (33A40)",
MRnumber = "86c:65021",
MRreviewer = "S. Conde",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C1120 (Mathematical analysis); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Ocean Eng., MIT, Cambridge, MA, USA",
keywords = "accuracy; Bessel functions; function approximation;
functions; IBM PC computer; minimax; polynomial
approximations; polynomials; rational-fraction
approximations; single-precision computations; Struve",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Ng:1984:DAA,
author = "K. C. Ng",
title = "Contributions to the computation of the matrix
exponential",
type = "Report",
number = "PAM-212",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
month = feb,
year = "1984",
bibdate = "Fri Nov 11 09:06:19 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "Based on the author's Ph.D. thesis.",
acknowledgement = ack-nhfb,
keywords = "$\exp(Bt)$",
}
@Article{Nishimoto:1984:TFD,
author = "Katsuyuki Nishimoto",
title = "Tables of fractional differintegrations of elementary
functions",
journal = "J. College Engrg. Nihon Univ. Ser. B",
volume = "25",
pages = "41--46",
year = "1984",
ISSN = "0285-6182",
MRclass = "30E20 (26A33)",
MRnumber = "85f:30065",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Noble:1984:CPE,
author = "C. J. Noble and I. J. Thompson",
title = "{COULN}, a program for evaluating negative energy
{Coulomb} functions",
journal = j-COMP-PHYS-COMM,
volume = "33",
number = "4",
pages = "413--419",
month = oct,
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(84)90146-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Fri Feb 24 13:39:14 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/0010465584901462",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Piessens:1984:ACB,
author = "R. Piessens",
title = "Automatic computation of {Bessel} function integrals",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-791",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82915-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:49 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S001046558482915X",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Piessens:1984:CSA,
author = "R. Piessens",
title = "{Chebyshev} series approximations for the zeros of the
{Bessel} functions",
journal = j-J-COMPUT-PHYS,
volume = "53",
number = "1",
pages = "188--192",
month = jan,
year = "1984",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(84)90060-3",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:18 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999184900603",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Piessens:1984:SEF,
author = "R. Piessens",
title = "A Series Expansion for the First Positive Zero of the
{Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "195--197",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "33A40 (65D20)",
MRnumber = "84m:33014",
MRreviewer = "M. E. Muldoon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database; Theory/Comp.Alg.1.bib",
acknowledgement = ack-nhfb,
annote = "Gives explicit series for first positive zero for 4
terms, using REDUCE.",
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Computer Sci., Univ. of Leuven, Heverlee,
Belgium",
keywords = "Bessel functions; poles and zeros; positive zero;
Reduce; series (mathematics); series expansion",
treatment = "T Theoretical or Mathematical",
}
@Article{Schmidt:1984:TAI,
author = "J. W. Schmidt",
title = "Two-Sided Approximations of Inverses, Square Roots and
{Cholesky} Factors",
journal = "Comput. Math., Banach Center Publ.",
volume = "13",
pages = "483--497",
year = "1984",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-jr,
}
@Article{Seaton:1984:CFA,
author = "M. J. Seaton",
title = "{Coulomb} functions analytic in the energy",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-771",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82899-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:49 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584828994",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Takemasa:1984:CFC,
author = "T. Takemasa and T. Tamura and H. H. Wolter",
title = "{Coulomb} functions with complex angular momenta",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-562",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82737-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S001046558482737X",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Talman:1984:LSC,
author = "James D. Talman",
title = "{LSFBTR}: a subroutine for calculating spherical
{Bessel} transforms",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-903",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)83002-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:56:58 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584830027",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Tamura:1984:CFC,
author = "Taro Tamura and Frank Rybicki",
title = "{Coulomb} functions for complex energies",
journal = j-COMP-PHYS-COMM,
volume = "35",
number = "1--3",
pages = "C-5",
month = "????",
year = "1984",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(84)82276-6",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 25 10:55:58 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.sciencedirect.com/science/journal/00104655",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465584822766",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
}
@Article{Trojan:1984:LBF,
author = "George M. Trojan",
title = "Lower Bounds and Fast Algorithms for Sequence
Acceleration",
journal = j-J-ACM,
volume = "31",
number = "2",
pages = "329--335",
month = apr,
year = "1984",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Tight upper and lower bounds are obtained for sequence
accelerating. The lower bounds follow from a powerful
asymptotic adversary principle. Algorithms are
presented and shown to be almost optimal.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Western Ontario, Dep of Physics, London,
Ont, Can",
classification = "723",
journalabr = "J Assoc Comput Mach",
keywords = "Algorithms; computer programming; convergence
acceleration; lower bounds; sequence acceleration;
upper bounds",
}
@Book{vanderLaan:1984:CSF,
author = "C. G. van der Laan and N. M. Temme",
title = "Calculation of special functions: the gamma function,
the exponential integrals and error-like functions",
volume = "10",
publisher = "Centre for Mathematics and Computer Science,",
address = "Amsterdam, The Netherlands",
pages = "iv + 231",
year = "1984",
ISBN = "90-6196-277-3",
ISBN-13 = "978-90-6196-277-9",
LCCN = "QA1 M4591 no. 10",
bibdate = "Sat Oct 30 18:43:03 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "CWI tract / Centrum voor Wiskunde en Informatica",
acknowledgement = ack-nhfb,
}
@Article{vonGudenberg:1984:BMG,
author = "J. Wolff {von Gudenberg}",
title = "{Berechnung maximal genauer Standardfunktionen mit
einfacher Mantissenl{\"a}nge} \toenglish {Computation
of Maximally Accurate Elementary Functions Using Simple
Mantissa Length} \endtoenglish",
journal = j-ELEK-RECHENANLAGEN,
volume = "26",
number = "5",
pages = "230--238",
month = oct,
year = "1984",
CODEN = "ELRAA4",
ISSN = "0013-5720",
bibdate = "Sun Oct 25 10:29:27 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nj,
}
@Article{Walmsley:1984:EEM,
author = "John L. Walmsley",
title = "On the efficient evaluation of modified {Bessel}
functions of zeroth and first orders for arguments of
the form $x \exp(i \pi / 4)$",
journal = j-J-COMPUT-PHYS,
volume = "56",
number = "2",
pages = "349--355",
month = nov,
year = "1984",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(84)90100-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:21 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
http://www.sciencedirect.com/science/journal/00219991",
URL = "http://www.sciencedirect.com/science/article/pii/0021999184901001",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Book{Wawrzynczyk:1984:GRS,
author = "Antoni Wawrzy{\'n}czyk and Aleksander Strasburger",
title = "Group representations and special functions",
volume = "8",
publisher = "D. Reidel",
address = "Dordrecht, The Netherlands",
pages = "xvi + 688",
year = "1984",
ISBN = "90-277-1269-7",
ISBN-13 = "978-90-277-1269-1",
LCCN = "QA171 .W3513 1984; QA1 M4281 v. 8",
bibdate = "Sat Oct 30 18:29:38 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Mathematics and its applications. East European
series",
acknowledgement = ack-nhfb,
remark = "Translation of Polish title Wsp\'o\pm{}czesna teoria
funkcji specjalnych.",
subject = "Representations of groups; Functions, Special",
}
@Article{Wrigge:1984:NMG,
author = "Staffan Wrigge",
title = "A note on the moment generating function for the
reciprocal gamma distribution",
journal = j-MATH-COMPUT,
volume = "42",
number = "166",
pages = "617--621",
month = apr,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D20 (60E10 62E15 65U05)",
MRnumber = "86f:65042b",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden",
keywords = "Euler--Maclaurin expansion; moment generating
function; polynomials; reciprocal gamma distribution",
treatment = "T Theoretical or Mathematical",
}
@Article{Akrivis:1985:ENC,
author = "G. Akrivis",
title = "The error norm of certain {Gaussian} quadrature
formulae",
journal = j-MATH-COMPUT,
volume = "45",
number = "172",
pages = "513--519",
month = oct,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
MRclass = "65D32",
MRnumber = "87a:65051",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Math. Inst., Munchen Univ., West Germany",
keywords = "error analysis; error functional; error norm; function
approximation; Gaussian quadrature formulae;
integration; weight functions; wide class",
treatment = "T Theoretical or Mathematical",
}
@Article{Bank:1985:SEM,
author = "Randolph E. Bank and Craig C. Douglas",
title = "Sharp estimates for multigrid rates of convergence
with general smoothing and acceleration",
journal = j-SIAM-J-NUMER-ANAL,
volume = "22",
number = "4",
pages = "617--633",
month = aug,
year = "1985",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "65F10 (65N20)",
MRnumber = "86j:65037",
MRreviewer = "L. W. Ehrlich",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
keywords = "convergence acceleration",
}
@InProceedings{Bannur:1985:VIS,
author = "J. Bannur and A. Varma",
title = "The {VLSI} Implementation of a Square Root Algorithm",
crossref = "Hwang:1985:PSC",
pages = "159--165",
year = "1985",
bibdate = "Fri Nov 16 08:47:34 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith7/papers/ARITH7_Bannur_Varma.pdf",
abstract = "VLSI implementation of a square root algorithm is
studied. Two possible implementations of the basic
nonrestoring algorithm are presented --- the second is
more area-efficient and modular than the first. The
implementations are simple and easy to control, but, at
the same time, are more area-time efficient than many
existing designs. A hardware algorithm suited to
microprogram implementation is also given. Extension of
the algorithms to achieve $1/2$-bit precision is
discussed.",
acknowledgement = ack-nhfb,
keywords = "ARITH-7",
}
@Article{Borodin:1985:DND,
author = "Allan Borodin and Ronald Fagin and John E. Hopcroft
and Martin Tompa",
title = "Decreasing the Nesting Depth of Expressions Involving
Square Roots",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "2",
pages = "169--188",
month = jun,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
MRclass = "68Q40 (12F05)",
MRnumber = "87a:68087",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
keywords = "Simplification",
}
@Article{Brezinski:1985:CAM,
author = "Claude Brezinski",
title = "Convergence acceleration methods: the past decade",
journal = j-J-COMP-APPL-MATH,
volume = "12--13",
number = "??",
pages = "19--36",
month = may,
year = "1985",
CODEN = "JCAMDI",
DOI = "http://dx.doi.org/10.1016/0377-0427(85)90005-6",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65Bxx (65J05)",
MRnumber = "793942 (86f:65019)",
bibdate = "Thu Dec 01 10:11:33 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
keywords = "convergence acceleration",
remark = "Proceedings of the international conference on
computational and applied mathematics (Leuven, 1984).",
}
@Article{Carlson:1985:AEF,
author = "B. C. Carlson and John L. Gustafson",
title = "Asymptotic expansion of the first elliptic integral",
journal = j-SIAM-J-MATH-ANA,
volume = "16",
number = "5",
pages = "1072--1092",
month = sep,
year = "1985",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A25 (41A60)",
MRnumber = "87d:33002",
MRreviewer = "Kusum Soni",
bibdate = "Sat Dec 5 18:14:13 MST 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Cathey:1985:ISR,
author = "James Cathey",
title = "68000 Integer square root routine in {16BST}",
journal = j-DDJ,
volume = "10",
number = "5",
pages = "118--??",
month = may,
year = "1985",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Mon Sep 2 09:09:39 MDT 1996",
bibsource =